57405688120 has 128 divisors (see below), whose sum is σ = 143646566400. Its totient is φ = 20472192000.

The previous prime is 57405688099. The next prime is 57405688127. The reversal of 57405688120 is 2188650475.

57405688120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57405688127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5243292 + ... + 5254228.

It is an arithmetic number, because the mean of its divisors is an integer number (1122238800).

Almost surely, 2^57405688120 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 57405688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71823283200).

57405688120 is an abundant number, since it is smaller than the sum of its proper divisors (86240878280).

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

57405688120 is a wasteful number, since it uses less digits than its factorization.

57405688120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 57405688120 in words is "fifty-seven billion, four hundred five million, six hundred eighty-eight thousand, one hundred twenty".