56795945761 has 9 divisors (see below), whose sum is σ = 57672512499. Its totient is φ = 55932516024.

The previous prime is 56795945753. The next prime is 56795945771. The reversal of 56795945761 is 16754959765.

The square root of 56795945761 is 238319.

It is a perfect power (a square), and thus also a powerful number.

56795945761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6958062225 + 49837883536 = 83415^2 + 223244^2 .

It is not a de Polignac number, because 56795945761 - 2³ = 56795945753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56795945693 and 56795945702.

It is not an unprimeable number, because it can be changed into a prime (56795945771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15965595 + ... + 15969151.

Almost surely, 2^56795945761 is an apocalyptic number.

56795945761 is the 238319-th square number.

56795945761 is the 119160-th centered octagonal number.

It is an amenable number.

56795945761 is a deficient number, since it is larger than the sum of its proper divisors (876566738).

56795945761 is an frugal number, since it uses more digits than its factorization.

56795945761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 3624 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 64.

Multiplying 56795945761 by its sum of digits (64), we get a square (3634940528704 = 1906552²).

The spelling of 56795945761 in words is "fifty-six billion, seven hundred ninety-five million, nine hundred forty-five thousand, seven hundred sixty-one".