11816791200 has 216 divisors, whose sum is σ = 42000311808. Its totient is φ = 3126090240.

The previous prime is 11816791187. The next prime is 11816791237. The reversal of 11816791200 is 219761811.

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 35 ways as a sum of consecutive naturals, for example, 907939 + ... + 920861.

It is an arithmetic number, because the mean of its divisors is an integer number (194445888).

Almost surely, 2^11816791200 is an apocalyptic number.

11816791200 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 11816791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000155904).

11816791200 is an abundant number, since it is smaller than the sum of its proper divisors (30183520608).

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

11816791200 is a wasteful number, since it uses less digits than its factorization.

11816791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13076 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11816791200 in words is "eleven billion, eight hundred sixteen million, seven hundred ninety-one thousand, two hundred".