56533420800 has 864 divisors, whose sum is σ = 222331603200. Its totient is φ = 14014218240.

The previous prime is 56533420753. The next prime is 56533420817. The reversal of 56533420800 is 802433565.

It is a happy number.

56533420800 is a `hidden beast` number, since 5 + 6 + 533 + 42 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219974272 + ... + 219974528.

Almost surely, 2^56533420800 is an apocalyptic number.

56533420800 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 56533420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111165801600).

56533420800 is an abundant number, since it is smaller than the sum of its proper divisors (165798182400).

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

56533420800 is a wasteful number, since it uses less digits than its factorization.

56533420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56533420800 in words is "fifty-six billion, five hundred thirty-three million, four hundred twenty thousand, eight hundred".