10692725760 has 880 divisors, whose sum is σ = 42800313600. Its totient is φ = 2540077056.

The previous prime is 10692725759. The next prime is 10692725767. The reversal of 10692725760 is 6752729601.

10692725760 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 72 + 576 + 0 = 666.

It is a super-2 number, since 2×10692725760² (a number of 21 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 not an unprimeable number, because it can be changed into a prime (10692725767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181232611 + ... + 181232669.

It is an arithmetic number, because the mean of its divisors is an integer number (48636720).

Almost surely, 2^10692725760 is an apocalyptic number.

10692725760 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 10692725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400156800).

10692725760 is an abundant number, since it is smaller than the sum of its proper divisors (32107587840).

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

10692725760 is a wasteful number, since it uses less digits than its factorization.

10692725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10692725760 in words is "ten billion, six hundred ninety-two million, seven hundred twenty-five thousand, seven hundred sixty".