11311722400 has 144 divisors (see below), whose sum is σ = 30330871200. Its totient is φ = 4085273600.

The previous prime is 11311722353. The next prime is 11311722413. The reversal of 11311722400 is 422711311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306887 + ... + 1315513.

It is an arithmetic number, because the mean of its divisors is an integer number (210631050).

Almost surely, 2^11311722400 is an apocalyptic number.

11311722400 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 11311722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165435600).

11311722400 is an abundant number, since it is smaller than the sum of its proper divisors (19019148800).

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

11311722400 is a wasteful number, since it uses less digits than its factorization.

11311722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 11311722400 in words is "eleven billion, three hundred eleven million, seven hundred twenty-two thousand, four hundred".