25858974016512 has 528 divisors, whose sum is σ = 96734927685760. Its totient is φ = 6461000515584.

The previous prime is 25858974016457. The next prime is 25858974016529. The reversal of 25858974016512 is 21561047985852.

25858974016512 is a `hidden beast` number, since 2 + 5 + 8 + 589 + 7 + 40 + 1 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×25858974016512² (a number of 28 digits) contains 22 as substring.

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 25858974016512.

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 47 ways as a sum of consecutive naturals, for example, 15123048 + ... + 16745880.

Almost surely, 2^{25858974016512} 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 25858974016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48367463842880).

25858974016512 is an abundant number, since it is smaller than the sum of its proper divisors (70875953669248).

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

25858974016512 is a wasteful number, since it uses less digits than its factorization.

25858974016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622898 (or 1622877 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 25858974016512 in words is "twenty-five trillion, eight hundred fifty-eight billion, nine hundred seventy-four million, sixteen thousand, five hundred twelve".