57027250100 has 72 divisors (see below), whose sum is σ = 128951668440. Its totient is φ = 21863403520.

The previous prime is 57027250079. The next prime is 57027250177. The reversal of 57027250100 is 105272075.

It can be written as a sum of positive squares in 12 ways, for example, as 21997635856 + 35029614244 = 148316^2 + 187162^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 23 ways as a sum of consecutive naturals, for example, 325532 + ... + 469068.

It is an arithmetic number, because the mean of its divisors is an integer number (1790995395).

Almost surely, 2^57027250100 is an apocalyptic number.

57027250100 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 57027250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64475834220).

57027250100 is an abundant number, since it is smaller than the sum of its proper divisors (71924418340).

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

57027250100 is a wasteful number, since it uses less digits than its factorization.

57027250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143717 (or 143710 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The spelling of 57027250100 in words is "fifty-seven billion, twenty-seven million, two hundred fifty thousand, one hundred".