57315734100 has 108 divisors (see below), whose sum is σ = 179874125340. Its totient is φ = 15265382400.

The previous prime is 57315734087. The next prime is 57315734117. The reversal of 57315734100 is 143751375.

57315734100 is a `hidden beast` number, since 5 + 73 + 1 + 573 + 4 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4402853316 + 52912880784 = 66354^2 + 230028^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 700116 + ... + 777684.

Almost surely, 2^57315734100 is an apocalyptic number.

57315734100 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 57315734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89937062670).

57315734100 is an abundant number, since it is smaller than the sum of its proper divisors (122558391240).

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

57315734100 is a wasteful number, since it uses less digits than its factorization.

57315734100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78410 (or 78400 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 57315734100 in words is "fifty-seven billion, three hundred fifteen million, seven hundred thirty-four thousand, one hundred".