11311372800 has 1080 divisors, whose sum is σ = 50699192544. Its totient is φ = 2357821440.

The previous prime is 11311372799. The next prime is 11311372811. The reversal of 11311372800 is 827311311.

It is a happy number.

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 107 ways as a sum of consecutive naturals, for example, 136281559 + ... + 136281641.

Almost surely, 2^11311372800 is an apocalyptic number.

11311372800 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 11311372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25349596272).

11311372800 is an abundant number, since it is smaller than the sum of its proper divisors (39387819744).

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

11311372800 is a wasteful number, since it uses less digits than its factorization.

11311372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11311372800 in words is "eleven billion, three hundred eleven million, three hundred seventy-two thousand, eight hundred".