2057325871104 has 384 divisors, whose sum is σ = 6874745230080. Its totient is φ = 580677009408.

The previous prime is 2057325871063. The next prime is 2057325871157. The reversal of 2057325871104 is 4011785237502.

2057325871104 is a `hidden beast` number, since 2 + 0 + 57 + 3 + 2 + 587 + 1 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2057325871104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171337869 + ... + 171349875.

It is an arithmetic number, because the mean of its divisors is an integer number (17902982370).

Almost surely, 2^{2057325871104} is an apocalyptic number.

2057325871104 is a gapful number since it is divisible by the number (24) 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 2057325871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437372615040).

2057325871104 is an abundant number, since it is smaller than the sum of its proper divisors (4817419358976).

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

2057325871104 is an equidigital number, since it uses as much as digits as its factorization.

2057325871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2057325871104 in words is "two trillion, fifty-seven billion, three hundred twenty-five million, eight hundred seventy-one thousand, one hundred four".