56046853843200 has 6480 divisors, whose sum is σ = 260394895326720. Its totient is φ = 11824496640000.

The previous prime is 56046853843193. The next prime is 56046853843301. The reversal of 56046853843200 is 234835864065.

56046853843200 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 68 + 538 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×56046853843200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1366996435180 + ... + 1366996435220.

Almost surely, 2^{56046853843200} is an apocalyptic number.

56046853843200 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 56046853843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130197447663360).

56046853843200 is an abundant number, since it is smaller than the sum of its proper divisors (204348041483520).

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

56046853843200 is a wasteful number, since it uses less digits than its factorization.

56046853843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 56046853843200 in words is "fifty-six trillion, forty-six billion, eight hundred fifty-three million, eight hundred forty-three thousand, two hundred".