10057317721920 has 1680 divisors, whose sum is σ = 43957119096000. Its totient is φ = 2170368442368.

The previous prime is 10057317721853. The next prime is 10057317721943. The reversal of 10057317721920 is 2912771375001.

10057317721920 is a `hidden beast` number, since 1 + 0 + 0 + 573 + 1 + 7 + 72 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10057317721920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9869791171 + ... + 9869792189.

Almost surely, 2^{10057317721920} is an apocalyptic number.

10057317721920 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 10057317721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978559548000).

10057317721920 is an abundant number, since it is smaller than the sum of its proper divisors (33899801374080).

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

10057317721920 is a wasteful number, since it uses less digits than its factorization.

10057317721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 10057317721920 in words is "ten trillion, fifty-seven billion, three hundred seventeen million, seven hundred twenty-one thousand, nine hundred twenty".