11992780800 has 1404 divisors, whose sum is σ = 57991493664. Its totient is φ = 2300313600.

The previous prime is 11992780687. The next prime is 11992780817. The reversal of 11992780800 is 808729911.

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 107 ways as a sum of consecutive naturals, for example, 922521594 + ... + 922521606.

Almost surely, 2^11992780800 is an apocalyptic number.

11992780800 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 11992780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28995746832).

11992780800 is an abundant number, since it is smaller than the sum of its proper divisors (45998712864).

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

11992780800 is a wasteful number, since it uses less digits than its factorization.

11992780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11992780800 in words is "eleven billion, nine hundred ninety-two million, seven hundred eighty thousand, eight hundred".