11916907200 has 504 divisors, whose sum is σ = 48229698816. Its totient is φ = 2762496000.

The previous prime is 11916907159. The next prime is 11916907213. The reversal of 11916907200 is 270961911.

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 71 ways as a sum of consecutive naturals, for example, 3641565 + ... + 3644835.

Almost surely, 2^11916907200 is an apocalyptic number.

11916907200 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 11916907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24114849408).

11916907200 is an abundant number, since it is smaller than the sum of its proper divisors (36312791616).

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

11916907200 is a wasteful number, since it uses less digits than its factorization.

11916907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11916907200 in words is "eleven billion, nine hundred sixteen million, nine hundred seven thousand, two hundred".