11255400 has 216 divisors, whose sum is σ = 42036930. Its totient is φ = 2695680.

The previous prime is 11255399. The next prime is 11255459. The reversal of 11255400 is 455211.

11255400 is a `hidden beast` number, since 1 + 125 + 540 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 86436 + 11168964 = 294^2 + 3342^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 304182 + ... + 304218.

Almost surely, 2^11255400 is an apocalyptic number.

11255400 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 11255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018465).

11255400 is an abundant number, since it is smaller than the sum of its proper divisors (30781530).

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

11255400 is a wasteful number, since it uses less digits than its factorization.

11255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 11255400 is about 3354.9068541466. The cubic root of 11255400 is about 224.1060828312.

The spelling of 11255400 in words is "eleven million, two hundred fifty-five thousand, four hundred".