56577761442 has 112 divisors (see below), whose sum is σ = 137056428960. Its totient is φ = 17450790336.

The previous prime is 56577761437. The next prime is 56577761447. The reversal of 56577761442 is 24416777565.

56577761442 is a `hidden beast` number, since 5 + 6 + 577 + 7 + 61 + 4 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56577761437) and next prime (56577761447).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56577761447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1167438 + ... + 1214934.

Almost surely, 2^56577761442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56577761442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68528214480).

56577761442 is an abundant number, since it is smaller than the sum of its proper divisors (80478667518).

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

56577761442 is a wasteful number, since it uses less digits than its factorization.

56577761442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47579 (or 47564 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

It can be divided in two parts, 56577761 and 442, that added together give a triangular number (56578203 = T₁₀₆₃₇).

The spelling of 56577761442 in words is "fifty-six billion, five hundred seventy-seven million, seven hundred sixty-one thousand, four hundred forty-two".