57380996160 has 560 divisors, whose sum is σ = 220399660800. Its totient is φ = 14127353856.

The previous prime is 57380996159. The next prime is 57380996237. The reversal of 57380996160 is 6169908375.

57380996160 is a `hidden beast` number, since 573 + 8 + 0 + 9 + 9 + 6 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57380996097 and 57380996106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17286981 + ... + 17290299.

Almost surely, 2^57380996160 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 57380996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110199830400).

57380996160 is an abundant number, since it is smaller than the sum of its proper divisors (163018664640).

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

57380996160 is a wasteful number, since it uses less digits than its factorization.

57380996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 57380996160 in words is "fifty-seven billion, three hundred eighty million, nine hundred ninety-six thousand, one hundred sixty".