25516738509696 has 384 divisors, whose sum is σ = 87644838362400. Its totient is φ = 7287206363136.

The previous prime is 25516738509667. The next prime is 25516738509701. The reversal of 25516738509696 is 69690583761552.

25516738509696 is a `hidden beast` number, since 2 + 5 + 51 + 6 + 7 + 3 + 8 + 509 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25516738509696² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 388272936 + ... + 388338648.

Almost surely, 2^{25516738509696} 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 25516738509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43822419181200).

25516738509696 is an abundant number, since it is smaller than the sum of its proper divisors (62128099852704).

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

25516738509696 is a wasteful number, since it uses less digits than its factorization.

25516738509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68043 (or 68018 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 25516738509696 in words is "twenty-five trillion, five hundred sixteen billion, seven hundred thirty-eight million, five hundred nine thousand, six hundred ninety-six".