57690132480 has 156 divisors (see below), whose sum is σ = 199968685020. Its totient is φ = 15383986176.

The previous prime is 57690132473. The next prime is 57690132491. The reversal of 57690132480 is 8423109675.

57690132480 is a `hidden beast` number, since 5 + 76 + 90 + 13 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29595009024 + 28095123456 = 172032^2 + 167616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27826 + ... + 340814.

It is an arithmetic number, because the mean of its divisors is an integer number (1281850545).

It is a 1-persistent number, because it is pandigital, but 2⋅57690132480 = 115380264960 is not.

Almost surely, 2^57690132480 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 57690132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99984342510).

57690132480 is an abundant number, since it is smaller than the sum of its proper divisors (142278552540).

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

57690132480 is a wasteful number, since it uses less digits than its factorization.

57690132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313024 (or 312999 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57690132480 in words is "fifty-seven billion, six hundred ninety million, one hundred thirty-two thousand, four hundred eighty".