57120615552 has 1152 divisors, whose sum is σ = 220623160320. Its totient is φ = 12915302400.

The previous prime is 57120615551. The next prime is 57120615569. The reversal of 57120615552 is 25551602175.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 57120615552.

It is not an unprimeable number, because it can be changed into a prime (57120615551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804515677 + ... + 804515747.

It is an arithmetic number, because the mean of its divisors is an integer number (191513160).

Almost surely, 2^57120615552 is an apocalyptic number.

57120615552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57120615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110311580160).

57120615552 is an abundant number, since it is smaller than the sum of its proper divisors (163502544768).

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

57120615552 is a wasteful number, since it uses less digits than its factorization.

57120615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 39.

The spelling of 57120615552 in words is "fifty-seven billion, one hundred twenty million, six hundred fifteen thousand, five hundred fifty-two".