25563357832320 has 768 divisors, whose sum is σ = 111381362426880. Its totient is φ = 5247860613120.

The previous prime is 25563357832297. The next prime is 25563357832333. The reversal of 25563357832320 is 2323875336552.

25563357832320 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 3 + 3 + 578 + 32 + 32 + 0 = 666.

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, 36464947 + ... + 37159373.

It is an arithmetic number, because the mean of its divisors is an integer number (145027815660).

Almost surely, 2^{25563357832320} is an apocalyptic number.

25563357832320 is a gapful number since it is divisible by the number (20) 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 25563357832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55690681213440).

25563357832320 is an abundant number, since it is smaller than the sum of its proper divisors (85818004594560).

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

25563357832320 is a wasteful number, since it uses less digits than its factorization.

25563357832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694553 (or 694538 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 25563357832320 in words is "twenty-five trillion, five hundred sixty-three billion, three hundred fifty-seven million, eight hundred thirty-two thousand, three hundred twenty".