56771249015880 has 1536 divisors, whose sum is σ = 232471333785600. Its totient is φ = 12171841228800.

The previous prime is 56771249015851. The next prime is 56771249015881. The reversal of 56771249015880 is 8851094217765.

56771249015880 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 1 + 2 + 49 + 0 + 1 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56771249015881) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 77450543994 + ... + 77450544726.

It is an arithmetic number, because the mean of its divisors is an integer number (151348524600).

Almost surely, 2^{56771249015880} 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 56771249015880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116235666892800).

56771249015880 is an abundant number, since it is smaller than the sum of its proper divisors (175700084769720).

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

56771249015880 is a wasteful number, since it uses less digits than its factorization.

56771249015880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 56771249015880 in words is "fifty-six trillion, seven hundred seventy-one billion, two hundred forty-nine million, fifteen thousand, eight hundred eighty".