57450332160 has 896 divisors, whose sum is σ = 228642177960. Its totient is φ = 13759414272.

The previous prime is 57450332153. The next prime is 57450332189. The reversal of 57450332160 is 6123305475.

57450332160 is a `hidden beast` number, since 5 + 74 + 503 + 3 + 21 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47405481984 + 10044850176 = 217728^2 + 100224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552711662 + ... + 1552711698.

Almost surely, 2^57450332160 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 57450332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114321088980).

57450332160 is an abundant number, since it is smaller than the sum of its proper divisors (171191845800).

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

57450332160 is an frugal number, since it uses more digits than its factorization.

57450332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 57450332160 in words is "fifty-seven billion, four hundred fifty million, three hundred thirty-two thousand, one hundred sixty".