11255630400 has 840 divisors, whose sum is σ = 49848089280. Its totient is φ = 2433576960.

The previous prime is 11255630389. The next prime is 11255630401. The reversal of 11255630400 is 403655211.

11255630400 is a `hidden beast` number, since 1 + 1 + 25 + 5 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11255630401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17236474 + ... + 17237126.

Almost surely, 2^11255630400 is an apocalyptic number.

11255630400 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 11255630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24924044640).

11255630400 is an abundant number, since it is smaller than the sum of its proper divisors (38592458880).

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

11255630400 is a wasteful number, since it uses less digits than its factorization.

11255630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11255630400 in words is "eleven billion, two hundred fifty-five million, six hundred thirty thousand, four hundred".