56442640164480 has 768 divisors, whose sum is σ = 205178523863040. Its totient is φ = 14824211189760.

The previous prime is 56442640164479. The next prime is 56442640164527. The reversal of 56442640164480 is 8446104624465.

56442640164480 is a `hidden beast` number, since 5 + 6 + 4 + 42 + 64 + 0 + 1 + 64 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14387619799 + ... + 14387623721.

It is an arithmetic number, because the mean of its divisors is an integer number (267159536280).

Almost surely, 2^{56442640164480} 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 56442640164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102589261931520).

56442640164480 is an abundant number, since it is smaller than the sum of its proper divisors (148735883698560).

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

56442640164480 is a wasteful number, since it uses less digits than its factorization.

56442640164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 56442640164480 in words is "fifty-six trillion, four hundred forty-two billion, six hundred forty million, one hundred sixty-four thousand, four hundred eighty".