57675201120 has 480 divisors, whose sum is σ = 213768434880. Its totient is φ = 14616391680.

The previous prime is 57675201107. The next prime is 57675201173. The reversal of 57675201120 is 2110257675.

57675201120 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 520 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53951946 + ... + 53953014.

It is an arithmetic number, because the mean of its divisors is an integer number (445350906).

Almost surely, 2^57675201120 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 57675201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106884217440).

57675201120 is an abundant number, since it is smaller than the sum of its proper divisors (156093233760).

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

57675201120 is a wasteful number, since it uses less digits than its factorization.

57675201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 57675201120 its reverse (2110257675), we get a palindrome (59785458795).

The spelling of 57675201120 in words is "fifty-seven billion, six hundred seventy-five million, two hundred one thousand, one hundred twenty".