25198576990272 has 168 divisors, whose sum is σ = 82555935041216. Its totient is φ = 7198669200384.

The previous prime is 25198576990253. The next prime is 25198576990361. The reversal of 25198576990272 is 27209967589152.

25198576990272 is a `hidden beast` number, since 2 + 519 + 85 + 7 + 6 + 9 + 9 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 25198576990272.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31322538 + ... + 32116950.

Almost surely, 2^{25198576990272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25198576990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277967520608).

25198576990272 is an abundant number, since it is smaller than the sum of its proper divisors (57357358050944).

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

25198576990272 is a wasteful number, since it uses less digits than its factorization.

25198576990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802305 (or 802292 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 25198576990272 in words is "twenty-five trillion, one hundred ninety-eight billion, five hundred seventy-six million, nine hundred ninety thousand, two hundred seventy-two".