56006454600 has 144 divisors (see below), whose sum is σ = 191172133620. Its totient is φ = 14690188800.

The previous prime is 56006454551. The next prime is 56006454607. The reversal of 56006454600 is 645460065.

It is a happy number.

56006454600 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 6 + 45 + 4 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18561882564 + 37444572036 = 136242^2 + 193506^2 .

It is a super-2 number, since 2×56006454600² (a number of 22 digits) contains 22 as substring.

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 (56006454607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145239 + ... + 364838.

Almost surely, 2^56006454600 is an apocalyptic number.

56006454600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56006454600 is an abundant number, since it is smaller than the sum of its proper divisors (135165679020).

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

56006454600 is a wasteful number, since it uses less digits than its factorization.

56006454600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510160 (or 510148 counting only the distinct ones).

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

The spelling of 56006454600 in words is "fifty-six billion, six million, four hundred fifty-four thousand, six hundred".