5665572864000 has 3600 divisors, whose sum is σ = 26652828266064. Its totient is φ = 1189085184000.

The previous prime is 5665572863999. The next prime is 5665572864013. The reversal of 5665572864000 is 4682755665.

5665572864000 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 572 + 8 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2575177629696 + 3090395234304 = 1604736^2 + 1757952^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 138184703980 + ... + 138184704020.

Almost surely, 2^{5665572864000} is an apocalyptic number.

5665572864000 is a gapful number since it is divisible by the number (50) 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 5665572864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326414133032).

5665572864000 is an abundant number, since it is smaller than the sum of its proper divisors (20987255402064).

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

5665572864000 is an equidigital number, since it uses as much as digits as its factorization.

5665572864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5665572864000 in words is "five trillion, six hundred sixty-five billion, five hundred seventy-two million, eight hundred sixty-four thousand".