57616599040 has 864 divisors, whose sum is σ = 192970716120. Its totient is φ = 16349921280.

The previous prime is 57616599017. The next prime is 57616599041. The reversal of 57616599040 is 4099561675.

It can be written as a sum of positive squares in 4 ways, for example, as 37890958336 + 19725640704 = 194656^2 + 140448^2 .

It is a super-2 number, since 2×57616599040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57616599041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 789268444 + ... + 789268516.

Almost surely, 2^57616599040 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 57616599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96485358060).

57616599040 is an abundant number, since it is smaller than the sum of its proper divisors (135354117080).

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

57616599040 is a wasteful number, since it uses less digits than its factorization.

57616599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

It can be divided in two parts, 57616 and 599040, that added together give a palindrome (656656).

The spelling of 57616599040 in words is "fifty-seven billion, six hundred sixteen million, five hundred ninety-nine thousand, forty".