57389080320 has 648 divisors, whose sum is σ = 235115008128. Its totient is φ = 12838256640.

The previous prime is 57389080313. The next prime is 57389080321. The reversal of 57389080320 is 2308098375.

It is a super-2 number, since 2×57389080320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57389080321) 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 71 ways as a sum of consecutive naturals, for example, 18119377 + ... + 18122543.

Almost surely, 2^57389080320 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 57389080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117557504064).

57389080320 is an abundant number, since it is smaller than the sum of its proper divisors (177725927808).

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

57389080320 is a wasteful number, since it uses less digits than its factorization.

57389080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57389080320 in words is "fifty-seven billion, three hundred eighty-nine million, eighty thousand, three hundred twenty".