57609381960 has 384 divisors, whose sum is σ = 210104294400. Its totient is φ = 13593692160.

The previous prime is 57609381931. The next prime is 57609381983. The reversal of 57609381960 is 6918390675.

57609381960 is a `hidden beast` number, since 576 + 0 + 9 + 3 + 8 + 1 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57609381897 and 57609381906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15811899 + ... + 15815541.

It is an arithmetic number, because the mean of its divisors is an integer number (547146600).

Almost surely, 2^57609381960 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 57609381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105052147200).

57609381960 is an abundant number, since it is smaller than the sum of its proper divisors (152494912440).

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

57609381960 is a wasteful number, since it uses less digits than its factorization.

57609381960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

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

It can be divided in two parts, 57609 and 381960, that added together give a square (439569 = 663²).

The spelling of 57609381960 in words is "fifty-seven billion, six hundred nine million, three hundred eighty-one thousand, nine hundred sixty".