25116972768 has 216 divisors, whose sum is σ = 74417183568. Its totient is φ = 8035200000.

The previous prime is 25116972767. The next prime is 25116972773. The reversal of 25116972768 is 86727961152.

25116972768 is a `hidden beast` number, since 2 + 511 + 69 + 7 + 2 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25116972767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41791668 + ... + 41792268.

It is an arithmetic number, because the mean of its divisors is an integer number (344523998).

Almost surely, 2^25116972768 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 25116972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37208591784).

25116972768 is an abundant number, since it is smaller than the sum of its proper divisors (49300210800).

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

25116972768 is a wasteful number, since it uses less digits than its factorization.

25116972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 788 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 25116972768 in words is "twenty-five billion, one hundred sixteen million, nine hundred seventy-two thousand, seven hundred sixty-eight".