25516764082992 has 480 divisors, whose sum is σ = 86121918511104. Its totient is φ = 6445445529600.

The previous prime is 25516764082991. The next prime is 25516764083017. The reversal of 25516764082992 is 29928046761552.

It is a super-2 number, since 2×25516764082992² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25516764082991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91803267 + ... + 92080797.

Almost surely, 2^{25516764082992} 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 25516764082992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43060959255552).

25516764082992 is an abundant number, since it is smaller than the sum of its proper divisors (60605154428112).

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

25516764082992 is a wasteful number, since it uses less digits than its factorization.

25516764082992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277697 (or 277684 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 25516764082992 in words is "twenty-five trillion, five hundred sixteen billion, seven hundred sixty-four million, eighty-two thousand, nine hundred ninety-two".