56855001600 has 540 divisors, whose sum is σ = 211595415174. Its totient is φ = 15138938880.

The previous prime is 56855001551. The next prime is 56855001607. The reversal of 56855001600 is 610055865.

It can be written as a sum of positive squares in 3 ways, for example, as 55025899776 + 1829101824 = 234576^2 + 42768^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56855001607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 83980462 + ... + 83981138.

Almost surely, 2^56855001600 is an apocalyptic number.

56855001600 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 56855001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105797707587).

56855001600 is an abundant number, since it is smaller than the sum of its proper divisors (154740413574).

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

56855001600 is an frugal number, since it uses more digits than its factorization.

56855001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56855001600 in words is "fifty-six billion, eight hundred fifty-five million, one thousand, six hundred".