57948088320 has 288 divisors, whose sum is σ = 202459944960. Its totient is φ = 15328051200.

The previous prime is 57948088307. The next prime is 57948088357. The reversal of 57948088320 is 2388084975.

It is a happy number.

57948088320 is a `hidden beast` number, since 57 + 9 + 480 + 88 + 32 + 0 = 666.

57948088320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11701845 + ... + 11706795.

It is an arithmetic number, because the mean of its divisors is an integer number (702985920).

Almost surely, 2^57948088320 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 57948088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101229972480).

57948088320 is an abundant number, since it is smaller than the sum of its proper divisors (144511856640).

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

57948088320 is a wasteful number, since it uses less digits than its factorization.

57948088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57948088320 in words is "fifty-seven billion, nine hundred forty-eight million, eighty-eight thousand, three hundred twenty".