56004768631080 has 320 divisors, whose sum is σ = 189259459163280. Its totient is φ = 14853636403200.

The previous prime is 56004768631079. The next prime is 56004768631081. The reversal of 56004768631080 is 8013686740065.

56004768631080 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 476 + 8 + 63 + 108 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56004768631079) and next prime (56004768631081).

It can be written as a sum of positive squares in 8 ways, for example, as 55975026869316 + 29741761764 = 7481646^2 + 172458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56004768631081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2055886260 + ... + 2055913500.

Almost surely, 2^{56004768631080} 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 56004768631080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94629729581640).

56004768631080 is an abundant number, since it is smaller than the sum of its proper divisors (133254690532200).

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

56004768631080 is a wasteful number, since it uses less digits than its factorization.

56004768631080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30682 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56004768631080 in words is "fifty-six trillion, four billion, seven hundred sixty-eight million, six hundred thirty-one thousand, eighty".