56277572760 has 192 divisors, whose sum is σ = 190927601280. Its totient is φ = 14362168320.

The previous prime is 56277572759. The next prime is 56277572773. The reversal of 56277572760 is 6727577265.

It is a happy number.

56277572760 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 7 + 572 + 7 + 60 = 666.

56277572760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56277572697 and 56277572706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777889 + ... + 847151.

It is an arithmetic number, because the mean of its divisors is an integer number (994414590).

Almost surely, 2^56277572760 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 56277572760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95463800640).

56277572760 is an abundant number, since it is smaller than the sum of its proper divisors (134650028520).

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

56277572760 is a wasteful number, since it uses less digits than its factorization.

56277572760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69378 (or 69371 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 56277572760 in words is "fifty-six billion, two hundred seventy-seven million, five hundred seventy-two thousand, seven hundred sixty".