57125844192 has 96 divisors (see below), whose sum is σ = 159257435904. Its totient is φ = 17867520000.

The previous prime is 57125844187. The next prime is 57125844197. The reversal of 57125844192 is 29144852175.

It is an interprime number because it is at equal distance from previous prime (57125844187) and next prime (57125844197).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57125844197) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 487317 + ... + 593067.

It is an arithmetic number, because the mean of its divisors is an integer number (1658931624).

Almost surely, 2^57125844192 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 57125844192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79628717952).

57125844192 is an abundant number, since it is smaller than the sum of its proper divisors (102131591712).

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

57125844192 is a wasteful number, since it uses less digits than its factorization.

57125844192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106112 (or 106104 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 57125844192 in words is "fifty-seven billion, one hundred twenty-five million, eight hundred forty-four thousand, one hundred ninety-two".