11256500 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4397600.

The previous prime is 11256491. The next prime is 11256517. The reversal of 11256500 is 565211.

11256500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23261 + ... + 23739.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^11256500 is an apocalyptic number.

11256500 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 11256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

11256500 is an abundant number, since it is smaller than the sum of its proper divisors (13903180).

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

11256500 is a wasteful number, since it uses less digits than its factorization.

11256500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 11256500 is about 3355.0707891191. The cubic root of 11256500 is about 224.1133832873.

It can be divided in two parts, 11 and 256500, that multiplied together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 11256500 in words is "eleven million, two hundred fifty-six thousand, five hundred".