25216026890796 has 288 divisors, whose sum is σ = 76552163251200. Its totient is φ = 6842539325952.

The previous prime is 25216026890777. The next prime is 25216026890801. The reversal of 25216026890796 is 69709862061252.

25216026890796 is a `hidden beast` number, since 2 + 5 + 216 + 0 + 268 + 90 + 79 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4211793715 + ... + 4211799701.

It is an arithmetic number, because the mean of its divisors is an integer number (265806122400).

Almost surely, 2^{25216026890796} 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 25216026890796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38276081625600).

25216026890796 is an abundant number, since it is smaller than the sum of its proper divisors (51336136360404).

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

25216026890796 is a wasteful number, since it uses less digits than its factorization.

25216026890796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 25216026890796 in words is "twenty-five trillion, two hundred sixteen billion, twenty-six million, eight hundred ninety thousand, seven hundred ninety-six".