56677567760 has 80 divisors (see below), whose sum is σ = 143845079040. Its totient is φ = 20597099520.

The previous prime is 56677567729. The next prime is 56677567769. The reversal of 56677567760 is 6776577665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 56677567693 and 56677567702.

It is not an unprimeable number, because it can be changed into a prime (56677567769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444076 + ... + 1482804.

It is an arithmetic number, because the mean of its divisors is an integer number (1798063488).

Almost surely, 2^56677567760 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 56677567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71922539520).

56677567760 is an abundant number, since it is smaller than the sum of its proper divisors (87167511280).

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

56677567760 is a wasteful number, since it uses less digits than its factorization.

56677567760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40416 (or 40410 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 62.

The spelling of 56677567760 in words is "fifty-six billion, six hundred seventy-seven million, five hundred sixty-seven thousand, seven hundred sixty".