57835415352 has 256 divisors, whose sum is σ = 180331038720. Its totient is φ = 15186124800.

The previous prime is 57835415347. The next prime is 57835415387. The reversal of 57835415352 is 25351453875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27012202 + ... + 27014342.

It is an arithmetic number, because the mean of its divisors is an integer number (704418120).

Almost surely, 2^57835415352 is an apocalyptic number.

57835415352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57835415352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90165519360).

57835415352 is an abundant number, since it is smaller than the sum of its proper divisors (122495623368).

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

57835415352 is a wasteful number, since it uses less digits than its factorization.

57835415352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The spelling of 57835415352 in words is "fifty-seven billion, eight hundred thirty-five million, four hundred fifteen thousand, three hundred fifty-two".