10681125750 has 224 divisors, whose sum is σ = 30323142720. Its totient is φ = 2815689600.

The previous prime is 10681125737. The next prime is 10681125769. The reversal of 10681125750 is 5752118601.

10681125750 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 1 + 2 + 575 + 0 = 666.

It is a super-2 number, since 2×10681125750² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18771466 + ... + 18772034.

Almost surely, 2^10681125750 is an apocalyptic number.

10681125750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681125750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161571360).

10681125750 is an abundant number, since it is smaller than the sum of its proper divisors (19642016970).

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

10681125750 is an equidigital number, since it uses as much as digits as its factorization.

10681125750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10681125750 in words is "ten billion, six hundred eighty-one million, one hundred twenty-five thousand, seven hundred fifty".