56859753600000 has 4224 divisors, whose sum is σ = 247589273272320. Its totient is φ = 12773376000000.

The previous prime is 56859753599993. The next prime is 56859753600059. The reversal of 56859753600000 is 635795865.

56859753600000 is a `hidden beast` number, since 56 + 8 + 59 + 7 + 536 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56859753600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 800841599965 + ... + 800841600035.

Almost surely, 2^{56859753600000} is an apocalyptic number.

56859753600000 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 56859753600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123794636636160).

56859753600000 is an abundant number, since it is smaller than the sum of its proper divisors (190729519672320).

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

56859753600000 is a wasteful number, since it uses less digits than its factorization.

56859753600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56859753600000 in words is "fifty-six trillion, eight hundred fifty-nine billion, seven hundred fifty-three million, six hundred thousand".