10791885456 has 135 divisors (see below), whose sum is σ = 33239795043. Its totient is φ = 3266112960.

The previous prime is 10791885437. The next prime is 10791885593. The reversal of 10791885456 is 65458819701.

It is a happy number.

The square root of 10791885456 is 103884.

It is a perfect power (a square), and thus also a powerful number.

10791885456 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 188 + 5 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13712295 + ... + 13713081.

Almost surely, 2^10791885456 is an apocalyptic number.

10791885456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10791885456 is the 103884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10791885456

10791885456 is an abundant number, since it is smaller than the sum of its proper divisors (22447909587).

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

10791885456 is an equidigital number, since it uses as much as digits as its factorization.

10791885456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10791885456 in words is "ten billion, seven hundred ninety-one million, eight hundred eighty-five thousand, four hundred fifty-six".