57129468480 has 840 divisors, whose sum is σ = 244192202496. Its totient is φ = 12628224000.

The previous prime is 57129468457. The next prime is 57129468481. The reversal of 57129468480 is 8486492175.

It is a happy number.

57129468480 is a `hidden beast` number, since 5 + 7 + 12 + 94 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57129468481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39371755 + ... + 39373205.

Almost surely, 2^57129468480 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 57129468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122096101248).

57129468480 is an abundant number, since it is smaller than the sum of its proper divisors (187062734016).

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

57129468480 is a wasteful number, since it uses less digits than its factorization.

57129468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57129468480 in words is "fifty-seven billion, one hundred twenty-nine million, four hundred sixty-eight thousand, four hundred eighty".