11253656212200 has 576 divisors, whose sum is σ = 39693446956800. Its totient is φ = 2854339430400.

The previous prime is 11253656212153. The next prime is 11253656212223. The reversal of 11253656212200 is 221265635211.

11253656212200 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 6 + 5 + 621 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 711213489 + ... + 711229311.

It is an arithmetic number, because the mean of its divisors is an integer number (68912234300).

Almost surely, 2^{11253656212200} is an apocalyptic number.

11253656212200 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 11253656212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846723478400).

11253656212200 is an abundant number, since it is smaller than the sum of its proper divisors (28439790744600).

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

11253656212200 is a wasteful number, since it uses less digits than its factorization.

11253656212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16122 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11253656212200 in words is "eleven trillion, two hundred fifty-three billion, six hundred fifty-six million, two hundred twelve thousand, two hundred".