10057257023000 has 256 divisors, whose sum is σ = 27127571328000. Its totient is φ = 3451508352000.

The previous prime is 10057257022979. The next prime is 10057257023041. The reversal of 10057257023000 is 32075275001.

It is a super-2 number, since 2×10057257023000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54875516 + ... + 55058484.

It is an arithmetic number, because the mean of its divisors is an integer number (105967075500).

Almost surely, 2^{10057257023000} is an apocalyptic number.

10057257023000 is a gapful number since it is divisible by the number (10) 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 10057257023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563785664000).

10057257023000 is an abundant number, since it is smaller than the sum of its proper divisors (17070314305000).

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

10057257023000 is a wasteful number, since it uses less digits than its factorization.

10057257023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183283 (or 183269 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The spelling of 10057257023000 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, twenty-three thousand".