57600485268480 has 2640 divisors, whose sum is σ = 263673899951616. Its totient is φ = 11889551278080.

The previous prime is 57600485268449. The next prime is 57600485268497. The reversal of 57600485268480 is 8486258400675.

57600485268480 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 0 + 48 + 52 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37330190589 + ... + 37330192131.

Almost surely, 2^{57600485268480} 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 57600485268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131836949975808).

57600485268480 is an abundant number, since it is smaller than the sum of its proper divisors (206073414683136).

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

57600485268480 is a wasteful number, since it uses less digits than its factorization.

57600485268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 57600485268480 in words is "fifty-seven trillion, six hundred billion, four hundred eighty-five million, two hundred sixty-eight thousand, four hundred eighty".