11916374400 has 1536 divisors, whose sum is σ = 56460672000. Its totient is φ = 2388787200.

The previous prime is 11916374399. The next prime is 11916374413. The reversal of 11916374400 is 447361911.

11916374400 is a `hidden beast` number, since 1 + 19 + 1 + 637 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 195350370 + ... + 195350430.

It is an arithmetic number, because the mean of its divisors is an integer number (36758250).

Almost surely, 2^11916374400 is an apocalyptic number.

11916374400 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 11916374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230336000).

11916374400 is an abundant number, since it is smaller than the sum of its proper divisors (44544297600).

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

11916374400 is a wasteful number, since it uses less digits than its factorization.

11916374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11916374400 in words is "eleven billion, nine hundred sixteen million, three hundred seventy-four thousand, four hundred".