10956800 has 78 divisors (see below), whose sum is σ = 27423468. Its totient is φ = 4341760.

The previous prime is 10956797. The next prime is 10956817. The reversal of 10956800 is 865901.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102347 + ... + 102453.

Almost surely, 2^10956800 is an apocalyptic number.

10956800 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 10956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711734).

10956800 is an abundant number, since it is smaller than the sum of its proper divisors (16466668).

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

10956800 is an equidigital number, since it uses as much as digits as its factorization.

10956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10956800 is about 3310.1057384924. The cubic root of 10956800 is about 222.1064878836.

The spelling of 10956800 in words is "ten million, nine hundred fifty-six thousand, eight hundred".