57493437120 has 560 divisors, whose sum is σ = 237075683328. Its totient is φ = 12953364480.

The previous prime is 57493437103. The next prime is 57493437151. The reversal of 57493437120 is 2173439475.

57493437120 is a `hidden beast` number, since 5 + 7 + 4 + 93 + 437 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 12880009 + ... + 12884471.

Almost surely, 2^57493437120 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 57493437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118537841664).

57493437120 is an abundant number, since it is smaller than the sum of its proper divisors (179582246208).

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

57493437120 is a wasteful number, since it uses less digits than its factorization.

57493437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 57493437120 in words is "fifty-seven billion, four hundred ninety-three million, four hundred thirty-seven thousand, one hundred twenty".