11980797600 has 288 divisors, whose sum is σ = 42257920320. Its totient is φ = 2936586240.

The previous prime is 11980797547. The next prime is 11980797623. The reversal of 11980797600 is 679708911.

It is a happy number.

It is a super-2 number, since 2×11980797600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11980797600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750986 + ... + 1757814.

It is an arithmetic number, because the mean of its divisors is an integer number (146728890).

Almost surely, 2^11980797600 is an apocalyptic number.

11980797600 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 11980797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128960160).

11980797600 is an abundant number, since it is smaller than the sum of its proper divisors (30277122720).

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

11980797600 is a wasteful number, since it uses less digits than its factorization.

11980797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 11980797600 in words is "eleven billion, nine hundred eighty million, seven hundred ninety-seven thousand, six hundred".