57777428880 has 60 divisors (see below), whose sum is σ = 194035867740. Its totient is φ = 15407314176.

The previous prime is 57777428843. The next prime is 57777428881. The reversal of 57777428880 is 8882477775.

It can be written as a sum of positive squares in 2 ways, for example, as 25239041424 + 32538387456 = 158868^2 + 180384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (57777428881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40122495 + ... + 40123934.

It is an arithmetic number, because the mean of its divisors is an integer number (3233931129).

Almost surely, 2^57777428880 is an apocalyptic number.

It is an amenable number.

57777428880 is an abundant number, since it is smaller than the sum of its proper divisors (136258438860).

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

57777428880 is a wasteful number, since it uses less digits than its factorization.

57777428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80246448 (or 80246439 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 57777428880 in words is "fifty-seven billion, seven hundred seventy-seven million, four hundred twenty-eight thousand, eight hundred eighty".