25451057559312 has 2160 divisors, whose sum is σ = 98832535646208. Its totient is φ = 6198622848000.

The previous prime is 25451057559289. The next prime is 25451057559329. The reversal of 25451057559312 is 21395575015452.

25451057559312 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 1 + 0 + 57 + 559 + 31 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 379866530703 + ... + 379866530769.

Almost surely, 2^{25451057559312} is an apocalyptic number.

25451057559312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25451057559312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49416267823104).

25451057559312 is an abundant number, since it is smaller than the sum of its proper divisors (73381478086896).

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

25451057559312 is a wasteful number, since it uses less digits than its factorization.

25451057559312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 54.

The spelling of 25451057559312 in words is "twenty-five trillion, four hundred fifty-one billion, fifty-seven million, five hundred fifty-nine thousand, three hundred twelve".