24779936423025 has 135 divisors (see below), whose sum is σ = 53398429313691. Its totient is φ = 11327254112160.

The previous prime is 24779936422867. The next prime is 24779936423027. The reversal of 24779936423025 is 52032463997742.

It is a happy number.

The square root of 24779936423025 is 4977945.

It is a perfect power (a square), and thus also a powerful number.

24779936423025 is a `hidden beast` number, since 2 + 4 + 77 + 99 + 36 + 423 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8920777112289 + 15859159310736 = 2986767^2 + 3982356^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 24779936423025 - 2¹³ = 24779936414833 is a prime.

It is a super-2 number, since 2×24779936423025² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (24779936423027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1568044774 + ... + 1568060576.

Almost surely, 2^{24779936423025} is an apocalyptic number.

24779936423025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24779936423025 is the 4977945-th square number.

24779936423025 is the 2488973-rd centered octagonal number.

It is an amenable number.

24779936423025 is an abundant number, since it is smaller than the sum of its proper divisors (28618492890666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24779936423025 is an frugal number, since it uses more digits than its factorization.

24779936423025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31642 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 24779936423025 in words is "twenty-four trillion, seven hundred seventy-nine billion, nine hundred thirty-six million, four hundred twenty-three thousand, twenty-five".