19924215959025 has 135 divisors (see below), whose sum is σ = 41638611168609. Its totient is φ = 9106713221760.

The previous prime is 19924215958993. The next prime is 19924215959027. The reversal of 19924215959025 is 52095951242991.

The square root of 19924215959025 is 4463655.

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

19924215959025 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 4 + 2 + 15 + 9 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2144938922721 + 17779277036304 = 1464561^2 + 4216548^2 .

It is not a de Polignac number, because 19924215959025 - 2⁵ = 19924215958993 is a prime.

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 (19924215959027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3280783389 + ... + 3280789461.

Almost surely, 2^{19924215959025} is an apocalyptic number.

19924215959025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19924215959025 is the 4463655-th square number.

19924215959025 is the 2231828-th centered octagonal number.

It is an amenable number.

19924215959025 is an abundant number, since it is smaller than the sum of its proper divisors (21714395209584).

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

19924215959025 is an frugal number, since it uses more digits than its factorization.

19924215959025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 19924215959025 in words is "nineteen trillion, nine hundred twenty-four billion, two hundred fifteen million, nine hundred fifty-nine thousand, twenty-five".