10753672896 has 168 divisors, whose sum is σ = 33323916080. Its totient is φ = 3303991296.

The previous prime is 10753672889. The next prime is 10753672939. The reversal of 10753672896 is 69827635701.

10753672896 is a `hidden beast` number, since 10 + 7 + 536 + 7 + 2 + 8 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391650 + ... + 418206.

Almost surely, 2^10753672896 is an apocalyptic number.

10753672896 is a gapful number since it is divisible by the number (16) 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 10753672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16661958040).

10753672896 is an abundant number, since it is smaller than the sum of its proper divisors (22570243184).

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

10753672896 is a wasteful number, since it uses less digits than its factorization.

10753672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26631 (or 26618 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10753672896 in words is "ten billion, seven hundred fifty-three million, six hundred seventy-two thousand, eight hundred ninety-six".