56819206080 has 1680 divisors, whose sum is σ = 267267781440. Its totient is φ = 11179524096.

The previous prime is 56819206039. The next prime is 56819206091. The reversal of 56819206080 is 8060291865.

56819206080 is a `hidden beast` number, since 5 + 6 + 8 + 19 + 20 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 521277066 + ... + 521277174.

Almost surely, 2^56819206080 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 56819206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133633890720).

56819206080 is an abundant number, since it is smaller than the sum of its proper divisors (210448575360).

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

56819206080 is a wasteful number, since it uses less digits than its factorization.

56819206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 56819206080 in words is "fifty-six billion, eight hundred nineteen million, two hundred six thousand, eighty".