57161174133000 has 1024 divisors, whose sum is σ = 216435586498560. Its totient is φ = 12284092800000.

The previous prime is 57161174132999. The next prime is 57161174133029. The reversal of 57161174133000 is 33147116175.

It is a self number, because there is not a number n which added to its sum of digits gives 57161174133000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5346657655 + ... + 5346668345.

It is an arithmetic number, because the mean of its divisors is an integer number (211362877440).

Almost surely, 2^{57161174133000} is an apocalyptic number.

57161174133000 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 57161174133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108217793249280).

57161174133000 is an abundant number, since it is smaller than the sum of its proper divisors (159274412365560).

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

57161174133000 is a wasteful number, since it uses less digits than its factorization.

57161174133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 57161174133000 in words is "fifty-seven trillion, one hundred sixty-one billion, one hundred seventy-four million, one hundred thirty-three thousand".