57997600000 has 108 divisors (see below), whose sum is σ = 144703543068. Its totient is φ = 23198720000.

The previous prime is 57997599977. The next prime is 57997600079. The reversal of 57997600000 is 679975.

It can be written as a sum of positive squares in 6 ways, for example, as 51372942336 + 6624657664 = 226656^2 + 81392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57997600000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763752 + ... + 836248.

It is an arithmetic number, because the mean of its divisors is an integer number (1339847621).

Almost surely, 2^57997600000 is an apocalyptic number.

57997600000 is a gapful number since it is divisible by the number (50) 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 57997600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72351771534).

57997600000 is an abundant number, since it is smaller than the sum of its proper divisors (86705943068).

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

57997600000 is an frugal number, since it uses more digits than its factorization.

57997600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72538 (or 72504 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The spelling of 57997600000 in words is "fifty-seven billion, nine hundred ninety-seven million, six hundred thousand".