11819208960 has 864 divisors, whose sum is σ = 47497981440. Its totient is φ = 2794881024.

The previous prime is 11819208937. The next prime is 11819208977. The reversal of 11819208960 is 6980291811.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 149610201 + ... + 149610279.

Almost surely, 2^11819208960 is an apocalyptic number.

11819208960 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 11819208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748990720).

11819208960 is an abundant number, since it is smaller than the sum of its proper divisors (35678772480).

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

11819208960 is an equidigital number, since it uses as much as digits as its factorization.

11819208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

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

The spelling of 11819208960 in words is "eleven billion, eight hundred nineteen million, two hundred eight thousand, nine hundred sixty".