56933743205760 has 512 divisors, whose sum is σ = 189770657932800. Its totient is φ = 14508520046592.

The previous prime is 56933743205753. The next prime is 56933743205839. The reversal of 56933743205760 is 6750234733965.

56933743205760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56933743205760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56933743205694 and 56933743205703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606747967 + ... + 606841793.

It is an arithmetic number, because the mean of its divisors is an integer number (370645816275).

Almost surely, 2^{56933743205760} 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 56933743205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94885328966400).

56933743205760 is an abundant number, since it is smaller than the sum of its proper divisors (132836914727040).

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

56933743205760 is a wasteful number, since it uses less digits than its factorization.

56933743205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94058 (or 94046 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 60.

The spelling of 56933743205760 in words is "fifty-six trillion, nine hundred thirty-three billion, seven hundred forty-three million, two hundred five thousand, seven hundred sixty".