57293190240 has 576 divisors, whose sum is σ = 215373816000. Its totient is φ = 12792299520.

The previous prime is 57293190193. The next prime is 57293190287. The reversal of 57293190240 is 4209139275.

It is an interprime number because it is at equal distance from previous prime (57293190193) and next prime (57293190287).

It is a junction number, because it is equal to n+sod(n) for n = 57293190192 and 57293190201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127601536 + ... + 127601984.

It is an arithmetic number, because the mean of its divisors is an integer number (373912875).

Almost surely, 2^57293190240 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 57293190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107686908000).

57293190240 is an abundant number, since it is smaller than the sum of its proper divisors (158080625760).

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

57293190240 is a wasteful number, since it uses less digits than its factorization.

57293190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 57293190240 in words is "fifty-seven billion, two hundred ninety-three million, one hundred ninety thousand, two hundred forty".