11087212800 has 216 divisors, whose sum is σ = 37581441856. Its totient is φ = 2876497920.

The previous prime is 11087212757. The next prime is 11087212831. The reversal of 11087212800 is 821278011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702597 + ... + 718203.

Almost surely, 2^11087212800 is an apocalyptic number.

11087212800 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 11087212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790720928).

11087212800 is an abundant number, since it is smaller than the sum of its proper divisors (26494229056).

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

11087212800 is a wasteful number, since it uses less digits than its factorization.

11087212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 11087212800 in words is "eleven billion, eighty-seven million, two hundred twelve thousand, eight hundred".