11220877324800 has 1440 divisors, whose sum is σ = 47366343984960. Its totient is φ = 2500883251200.

The previous prime is 11220877324757. The next prime is 11220877324819. The reversal of 11220877324800 is 842377802211.

11220877324800 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 87 + 73 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 4563185971 + ... + 4563188429.

It is an arithmetic number, because the mean of its divisors is an integer number (32893294434).

Almost surely, 2^{11220877324800} is an apocalyptic number.

11220877324800 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 11220877324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23683171992480).

11220877324800 is an abundant number, since it is smaller than the sum of its proper divisors (36145466660160).

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

11220877324800 is a wasteful number, since it uses less digits than its factorization.

11220877324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11220877324800 in words is "eleven trillion, two hundred twenty billion, eight hundred seventy-seven million, three hundred twenty-four thousand, eight hundred".