56835477216 has 144 divisors (see below), whose sum is σ = 185489740800. Its totient is φ = 16170626304.

The previous prime is 56835477211. The next prime is 56835477217. The reversal of 56835477216 is 61277453865.

56835477216 is a `hidden beast` number, since 5 + 6 + 8 + 354 + 77 + 216 = 666.

56835477216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56835477216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56835477211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422845 + ... + 540803.

It is an arithmetic number, because the mean of its divisors is an integer number (1288123200).

Almost surely, 2^56835477216 is an apocalyptic number.

56835477216 is a gapful number since it is divisible by the number (56) 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 56835477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92744870400).

56835477216 is an abundant number, since it is smaller than the sum of its proper divisors (128654263584).

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

56835477216 is a wasteful number, since it uses less digits than its factorization.

56835477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118221 (or 118210 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 56835477216 in words is "fifty-six billion, eight hundred thirty-five million, four hundred seventy-seven thousand, two hundred sixteen".