56819811960 has 640 divisors, whose sum is σ = 211362877440. Its totient is φ = 13627699200.

The previous prime is 56819811899. The next prime is 56819811967. The reversal of 56819811960 is 6911891865.

56819811960 is a `hidden beast` number, since 568 + 1 + 9 + 8 + 1 + 19 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56819811897 and 56819811906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56819811967) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 182700205 + ... + 182700515.

It is an arithmetic number, because the mean of its divisors is an integer number (330254496).

Almost surely, 2^56819811960 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 56819811960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105681438720).

56819811960 is an abundant number, since it is smaller than the sum of its proper divisors (154543065480).

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

56819811960 is a wasteful number, since it uses less digits than its factorization.

56819811960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 56819811960 in words is "fifty-six billion, eight hundred nineteen million, eight hundred eleven thousand, nine hundred sixty".