25056941382816 has 768 divisors, whose sum is σ = 80519739310080. Its totient is φ = 6673634426880.

The previous prime is 25056941382797. The next prime is 25056941382827. The reversal of 25056941382816 is 61828314965052.

It is a super-2 number, since 2×25056941382816² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25056941382816.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13744892881 + ... + 13744894703.

It is an arithmetic number, because the mean of its divisors is an integer number (104843410560).

Almost surely, 2^{25056941382816} 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 25056941382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259869655040).

25056941382816 is an abundant number, since it is smaller than the sum of its proper divisors (55462797927264).

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

25056941382816 is a wasteful number, since it uses less digits than its factorization.

25056941382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 25056941382816 in words is "twenty-five trillion, fifty-six billion, nine hundred forty-one million, three hundred eighty-two thousand, eight hundred sixteen".