57082109184 has 576 divisors, whose sum is σ = 185431680000. Its totient is φ = 17260978176.

The previous prime is 57082109177. The next prime is 57082109221. The reversal of 57082109184 is 48190128075.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410662587 + ... + 410662725.

It is an arithmetic number, because the mean of its divisors is an integer number (321930000).

Almost surely, 2^57082109184 is an apocalyptic number.

57082109184 is a gapful number since it is divisible by the number (54) 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 57082109184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840000).

57082109184 is an abundant number, since it is smaller than the sum of its proper divisors (128349570816).

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

57082109184 is a wasteful number, since it uses less digits than its factorization.

57082109184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 57082109184 in words is "fifty-seven billion, eighty-two million, one hundred nine thousand, one hundred eighty-four".