11256000 has 224 divisors, whose sum is σ = 43110912. Its totient is φ = 2534400.

The previous prime is 11255971. The next prime is 11256019. The reversal of 11256000 is 65211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167967 + ... + 168033.

Almost surely, 2^11256000 is an apocalyptic number.

11256000 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 11256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555456).

11256000 is an abundant number, since it is smaller than the sum of its proper divisors (31854912).

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

11256000 is an equidigital number, since it uses as much as digits as its factorization.

11256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11256000 is about 3354.9962742155. The cubic root of 11256000 is about 224.1100649571.

The spelling of 11256000 in words is "eleven million, two hundred fifty-six thousand".