56466176760 has 256 divisors, whose sum is σ = 226431360000. Its totient is φ = 12227231232.

The previous prime is 56466176731. The next prime is 56466176797. The reversal of 56466176760 is 6767166465.

It is a happy number.

56466176760 is a `hidden beast` number, since 5 + 6 + 466 + 176 + 7 + 6 + 0 = 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 = 56466176697 and 56466176706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52915 + ... + 340194.

It is an arithmetic number, because the mean of its divisors is an integer number (884497500).

Almost surely, 2^56466176760 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 56466176760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113215680000).

56466176760 is an abundant number, since it is smaller than the sum of its proper divisors (169965183240).

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

56466176760 is a wasteful number, since it uses less digits than its factorization.

56466176760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393155 (or 393145 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 56466176760 in words is "fifty-six billion, four hundred sixty-six million, one hundred seventy-six thousand, seven hundred sixty".