25468329744 has 675 divisors, whose sum is σ = 90656519877. Its totient is φ = 6894201600.

The previous prime is 25468329727. The next prime is 25468329749. The reversal of 25468329744 is 44792386452.

It is a happy number.

The square root of 25468329744 is 159588.

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

25468329744 is a `hidden beast` number, since 2 + 546 + 8 + 3 + 2 + 97 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3767504400 + 21700825344 = 61380^2 + 147312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (25468329749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 821559009 + ... + 821559039.

Almost surely, 2^25468329744 is an apocalyptic number.

25468329744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25468329744 is the 159588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25468329744

25468329744 is an abundant number, since it is smaller than the sum of its proper divisors (65188190133).

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

25468329744 is a wasteful number, since it uses less digits than its factorization.

25468329744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 25468329744 in words is "twenty-five billion, four hundred sixty-eight million, three hundred twenty-nine thousand, seven hundred forty-four".