57585765620 has 54 divisors (see below), whose sum is σ = 126470749398. Its totient is φ = 22023370688.

The previous prime is 57585765599. The next prime is 57585765631. The reversal of 57585765620 is 2656758575.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1485948304 + 56099817316 = 38548^2 + 236854^2 .

It is a super-2 number, since 2×57585765620² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24681974 + ... + 24684306.

Almost surely, 2^57585765620 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 57585765620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63235374699).

57585765620 is an abundant number, since it is smaller than the sum of its proper divisors (68884983778).

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

57585765620 is an equidigital number, since it uses as much as digits as its factorization.

57585765620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 56.

The spelling of 57585765620 in words is "fifty-seven billion, five hundred eighty-five million, seven hundred sixty-five thousand, six hundred twenty".