57282696960 has 144 divisors (see below), whose sum is σ = 183117217920. Its totient is φ = 15261143040.

The previous prime is 57282696917. The next prime is 57282696973. The reversal of 57282696960 is 6969628275.

It is a super-2 number, since 2×57282696960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 57282696894 and 57282696903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4490271 + ... + 4503009.

Almost surely, 2^57282696960 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 57282696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91558608960).

57282696960 is an abundant number, since it is smaller than the sum of its proper divisors (125834520960).

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

57282696960 is a wasteful number, since it uses less digits than its factorization.

57282696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 57282696960 in words is "fifty-seven billion, two hundred eighty-two million, six hundred ninety-six thousand, nine hundred sixty".