11918016000 has 1200 divisors, whose sum is σ = 51364993680. Its totient is φ = 2737152000.

The previous prime is 11918015987. The next prime is 11918016041. The reversal of 11918016000 is 61081911.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 627263991 + ... + 627264009.

Almost surely, 2^11918016000 is an apocalyptic number.

11918016000 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 11918016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25682496840).

11918016000 is an abundant number, since it is smaller than the sum of its proper divisors (39446977680).

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

11918016000 is an equidigital number, since it uses as much as digits as its factorization.

11918016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 11918016000 its reverse (61081911), we get a palindrome (11979097911).

The spelling of 11918016000 in words is "eleven billion, nine hundred eighteen million, sixteen thousand".