57342121536 has 224 divisors, whose sum is σ = 180410908672. Its totient is φ = 15728670720.

The previous prime is 57342121531. The next prime is 57342121579. The reversal of 57342121536 is 63512124375.

57342121536 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 (224).

It is a junction number, because it is equal to n+sod(n) for n = 57342121494 and 57342121503.

It is not an unprimeable number, because it can be changed into a prime (57342121531) 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, 5285910 + ... + 5296746.

Almost surely, 2^57342121536 is an apocalyptic number.

57342121536 is a gapful number since it is divisible by the number (56) 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 57342121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90205454336).

57342121536 is an abundant number, since it is smaller than the sum of its proper divisors (123068787136).

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

57342121536 is a wasteful number, since it uses less digits than its factorization.

57342121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11007 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 57342121536 in words is "fifty-seven billion, three hundred forty-two million, one hundred twenty-one thousand, five hundred thirty-six".