57685009842 has 128 divisors (see below), whose sum is σ = 132347520000. Its totient is φ = 18617803776.

The previous prime is 57685009813. The next prime is 57685009843. The reversal of 57685009842 is 24890058675.

57685009842 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 500 + 98 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57685009843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52014784 + ... + 52015892.

It is an arithmetic number, because the mean of its divisors is an integer number (1033965000).

Almost surely, 2^57685009842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57685009842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66173760000).

57685009842 is an abundant number, since it is smaller than the sum of its proper divisors (74662510158).

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

57685009842 is a wasteful number, since it uses less digits than its factorization.

57685009842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 57685009842 in words is "fifty-seven billion, six hundred eighty-five million, nine thousand, eight hundred forty-two".