56433386880 has 768 divisors, whose sum is σ = 220558141440. Its totient is φ = 13705666560.

The previous prime is 56433386819. The next prime is 56433386909. The reversal of 56433386880 is 8868333465.

56433386880 is a `hidden beast` number, since 56 + 433 + 3 + 86 + 8 + 80 = 666.

It is a super-2 number, since 2×56433386880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208241145 + ... + 208241415.

It is an arithmetic number, because the mean of its divisors is an integer number (287185080).

Almost surely, 2^56433386880 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 56433386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110279070720).

56433386880 is an abundant number, since it is smaller than the sum of its proper divisors (164124754560).

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

56433386880 is a wasteful number, since it uses less digits than its factorization.

56433386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 56433386880 in words is "fifty-six billion, four hundred thirty-three million, three hundred eighty-six thousand, eight hundred eighty".