11156212800 has 252 divisors, whose sum is σ = 39778692096. Its totient is φ = 2965478400.

The previous prime is 11156212799. The next prime is 11156212807. The reversal of 11156212800 is 821265111.

11156212800 is a `hidden beast` number, since 1 + 1 + 15 + 621 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×11156212800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11156212807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5283745 + ... + 5285855.

Almost surely, 2^11156212800 is an apocalyptic number.

11156212800 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 11156212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889346048).

11156212800 is an abundant number, since it is smaller than the sum of its proper divisors (28622479296).

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

11156212800 is a wasteful number, since it uses less digits than its factorization.

11156212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 11156212800 its reverse (821265111), we get a palindrome (11977477911).

The spelling of 11156212800 in words is "eleven billion, one hundred fifty-six million, two hundred twelve thousand, eight hundred".