25928233496704 has 512 divisors, whose sum is σ = 67342538833920. Its totient is φ = 9651253248000.

The previous prime is 25928233496597. The next prime is 25928233496761. The reversal of 25928233496704 is 40769433282952.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 63 ways as a sum of consecutive naturals, for example, 17626262689 + ... + 17626264159.

It is an arithmetic number, because the mean of its divisors is an integer number (131528396160).

Almost surely, 2^{25928233496704} 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 25928233496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33671269416960).

25928233496704 is an abundant number, since it is smaller than the sum of its proper divisors (41414305337216).

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

25928233496704 is a wasteful number, since it uses less digits than its factorization.

25928233496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 25928233496704 in words is "twenty-five trillion, nine hundred twenty-eight billion, two hundred thirty-three million, four hundred ninety-six thousand, seven hundred four".