56205348864 has 624 divisors, whose sum is σ = 194972011200. Its totient is φ = 14318567424.

The previous prime is 56205348853. The next prime is 56205348869. The reversal of 56205348864 is 46884350265.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (56205348869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2958176247 + ... + 2958176265.

Almost surely, 2^56205348864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56205348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97486005600).

56205348864 is an abundant number, since it is smaller than the sum of its proper divisors (138766662336).

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

56205348864 is an equidigital number, since it uses as much as digits as its factorization.

56205348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 56205348864 in words is "fifty-six billion, two hundred five million, three hundred forty-eight thousand, eight hundred sixty-four".