57042583920 has 240 divisors, whose sum is σ = 220332415680. Its totient is φ = 12955078656.

The previous prime is 57042583849. The next prime is 57042583931. The reversal of 57042583920 is 2938524075.

57042583920 is a `hidden beast` number, since 5 + 7 + 0 + 4 + 258 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755236 + ... + 827324.

It is an arithmetic number, because the mean of its divisors is an integer number (918051732).

Almost surely, 2^57042583920 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 57042583920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110166207840).

57042583920 is an abundant number, since it is smaller than the sum of its proper divisors (163289831760).

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

57042583920 is a wasteful number, since it uses less digits than its factorization.

57042583920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72272 (or 72263 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57042583920 in words is "fifty-seven billion, forty-two million, five hundred eighty-three thousand, nine hundred twenty".