11319918220800 has 3240 divisors, whose sum is σ = 52116068748744. Its totient is φ = 2425733775360.

The previous prime is 11319918220781. The next prime is 11319918220813. The reversal of 11319918220800 is 802281991311.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 44046374272 + ... + 44046374528.

Almost surely, 2^{11319918220800} is an apocalyptic number.

11319918220800 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 11319918220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26058034374372).

11319918220800 is an abundant number, since it is smaller than the sum of its proper divisors (40796150527944).

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

11319918220800 is an equidigital number, since it uses as much as digits as its factorization.

11319918220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 11319918220800 in words is "eleven trillion, three hundred nineteen billion, nine hundred eighteen million, two hundred twenty thousand, eight hundred".