25872449807232 has 768 divisors, whose sum is σ = 90240928727040. Its totient is φ = 6958448640000.

The previous prime is 25872449807161. The next prime is 25872449807249. The reversal of 25872449807232 is 23270894427852.

25872449807232 is a `hidden beast` number, since 2 + 5 + 8 + 72 + 4 + 498 + 0 + 72 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25872449807232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3618014857 + ... + 3618022007.

It is an arithmetic number, because the mean of its divisors is an integer number (117501209280).

Almost surely, 2^{25872449807232} 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 25872449807232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45120464363520).

25872449807232 is an abundant number, since it is smaller than the sum of its proper divisors (64368478919808).

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

25872449807232 is a wasteful number, since it uses less digits than its factorization.

25872449807232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 25872449807232 in words is "twenty-five trillion, eight hundred seventy-two billion, four hundred forty-nine million, eight hundred seven thousand, two hundred thirty-two".