56479577616 has 200 divisors, whose sum is σ = 203804973504. Its totient is φ = 14669994240.

The previous prime is 56479577611. The next prime is 56479577617. The reversal of 56479577616 is 61677597465.

56479577616 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 9 + 5 + 7 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56479577611) 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 39 ways as a sum of consecutive naturals, for example, 183195 + ... + 382778.

Almost surely, 2^56479577616 is an apocalyptic number.

56479577616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56479577616 is an abundant number, since it is smaller than the sum of its proper divisors (147325395888).

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

56479577616 is a wasteful number, since it uses less digits than its factorization.

56479577616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566011 (or 565996 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

It can be divided in two parts, 564795 and 77616, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 56479577616 in words is "fifty-six billion, four hundred seventy-nine million, five hundred seventy-seven thousand, six hundred sixteen".