10753990656 has 224 divisors, whose sum is σ = 30197145600. Its totient is φ = 3399352320.

The previous prime is 10753990649. The next prime is 10753990691. The reversal of 10753990656 is 65609935701.

It is a junction number, because it is equal to n+sod(n) for n = 10753990599 and 10753990608.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 56303521 + ... + 56303711.

Almost surely, 2^10753990656 is an apocalyptic number.

10753990656 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 10753990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098572800).

10753990656 is an abundant number, since it is smaller than the sum of its proper divisors (19443154944).

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

10753990656 is an equidigital number, since it uses as much as digits as its factorization.

10753990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 10753990656 in words is "ten billion, seven hundred fifty-three million, nine hundred ninety thousand, six hundred fifty-six".