56420945777664 has 1056 divisors, whose sum is σ = 193027702323456. Its totient is φ = 16306816942080.

The previous prime is 56420945777659. The next prime is 56420945777683. The reversal of 56420945777664 is 46677754902465.

56420945777664 is a `hidden beast` number, since 5 + 6 + 42 + 0 + 9 + 4 + 577 + 7 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×56420945777664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56420945777592 and 56420945777601.

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 95 ways as a sum of consecutive naturals, for example, 53177139694 + ... + 53177140754.

It is an arithmetic number, because the mean of its divisors is an integer number (182791384776).

Almost surely, 2^{56420945777664} is an apocalyptic number.

56420945777664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56420945777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96513851161728).

56420945777664 is an abundant number, since it is smaller than the sum of its proper divisors (136606756545792).

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

56420945777664 is a wasteful number, since it uses less digits than its factorization.

56420945777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 56420945777664 in words is "fifty-six trillion, four hundred twenty billion, nine hundred forty-five million, seven hundred seventy-seven thousand, six hundred sixty-four".