57839468040 has 512 divisors, whose sum is σ = 206231961600. Its totient is φ = 14388295680.

The previous prime is 57839468023. The next prime is 57839468077. The reversal of 57839468040 is 4086493875.

57839468040 is a `hidden beast` number, since 578 + 3 + 9 + 4 + 68 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302824345 + ... + 302824535.

It is an arithmetic number, because the mean of its divisors is an integer number (402796800).

Almost surely, 2^57839468040 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 57839468040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103115980800).

57839468040 is an abundant number, since it is smaller than the sum of its proper divisors (148392493560).

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

57839468040 is a wasteful number, since it uses less digits than its factorization.

57839468040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57839468040 in words is "fifty-seven billion, eight hundred thirty-nine million, four hundred sixty-eight thousand, forty".