56753162068064 has 192 divisors, whose sum is σ = 145722429361152. Its totient is φ = 21097494528000.

The previous prime is 56753162068051. The next prime is 56753162068103. The reversal of 56753162068064 is 46086026135765.

It is a junction number, because it is equal to n+sod(n) for n = 56753162067994 and 56753162068012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21476804 + ... + 23974140.

It is an arithmetic number, because the mean of its divisors is an integer number (758970986256).

Almost surely, 2^{56753162068064} 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 56753162068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72861214680576).

56753162068064 is an abundant number, since it is smaller than the sum of its proper divisors (88969267293088).

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

56753162068064 is a wasteful number, since it uses less digits than its factorization.

56753162068064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497789 (or 2497781 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 59.

The spelling of 56753162068064 in words is "fifty-six trillion, seven hundred fifty-three billion, one hundred sixty-two million, sixty-eight thousand, sixty-four".