25320747868416 has 2592 divisors, whose sum is σ = 105612654551040. Its totient is φ = 5869250150400.

The previous prime is 25320747868399. The next prime is 25320747868421. The reversal of 25320747868416 is 61486874702352.

25320747868416 is a `hidden beast` number, since 2 + 5 + 3 + 20 + 74 + 78 + 68 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×25320747868416² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 25094893320 + ... + 25094894328.

Almost surely, 2^{25320747868416} is an apocalyptic number.

25320747868416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25320747868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52806327275520).

25320747868416 is an abundant number, since it is smaller than the sum of its proper divisors (80291906682624).

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

25320747868416 is a wasteful number, since it uses less digits than its factorization.

25320747868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 25320747868416 in words is "twenty-five trillion, three hundred twenty billion, seven hundred forty-seven million, eight hundred sixty-eight thousand, four hundred sixteen".