11918916400 has 90 divisors (see below), whose sum is σ = 28903631820. Its totient is φ = 4723044480.

The previous prime is 11918916397. The next prime is 11918916403. The reversal of 11918916400 is 461981911.

It is an interprime number because it is at equal distance from previous prime (11918916397) and next prime (11918916403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11918916403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25742569 + ... + 25743031.

Almost surely, 2^11918916400 is an apocalyptic number.

11918916400 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 11918916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451815910).

11918916400 is an abundant number, since it is smaller than the sum of its proper divisors (16984715420).

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

11918916400 is an equidigital number, since it uses as much as digits as its factorization.

11918916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 11918916400 in words is "eleven billion, nine hundred eighteen million, nine hundred sixteen thousand, four hundred".