11172922800 has 240 divisors, whose sum is σ = 39874427040. Its totient is φ = 2655313920.

The previous prime is 11172922793. The next prime is 11172922823. The reversal of 11172922800 is 822927111.

11172922800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440052 + ... + 464748.

It is an arithmetic number, because the mean of its divisors is an integer number (166143446).

Almost surely, 2^11172922800 is an apocalyptic number.

11172922800 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 11172922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937213520).

11172922800 is an abundant number, since it is smaller than the sum of its proper divisors (28701504240).

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

11172922800 is a wasteful number, since it uses less digits than its factorization.

11172922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24760 (or 24749 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11172922800 in words is "eleven billion, one hundred seventy-two million, nine hundred twenty-two thousand, eight hundred".