11418778800 has 720 divisors, whose sum is σ = 47777629536. Its totient is φ = 2488320000.

The previous prime is 11418778769. The next prime is 11418778817. The reversal of 11418778800 is 887781411.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21106530 + ... + 21107070.

Almost surely, 2^11418778800 is an apocalyptic number.

11418778800 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 11418778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888814768).

11418778800 is an abundant number, since it is smaller than the sum of its proper divisors (36358850736).

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

11418778800 is a wasteful number, since it uses less digits than its factorization.

11418778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 11418778800 in words is "eleven billion, four hundred eighteen million, seven hundred seventy-eight thousand, eight hundred".