10457111700 has 432 divisors, whose sum is σ = 39719680000. Its totient is φ = 2247886080.

The previous prime is 10457111677. The next prime is 10457111729. The reversal of 10457111700 is 711175401.

10457111700 is a `hidden beast` number, since 10 + 4 + 571 + 11 + 70 + 0 = 666.

It is a super-6 number, since 6×10457111700⁶ (a number of 61 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23820081 + ... + 23820519.

Almost surely, 2^10457111700 is an apocalyptic number.

10457111700 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 10457111700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859840000).

10457111700 is an abundant number, since it is smaller than the sum of its proper divisors (29262568300).

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

10457111700 is a wasteful number, since it uses less digits than its factorization.

10457111700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 10457111700 in words is "ten billion, four hundred fifty-seven million, one hundred eleven thousand, seven hundred".