11982800760 has 256 divisors, whose sum is σ = 43558871040. Its totient is φ = 2578728960.

The previous prime is 11982800717. The next prime is 11982800773. The reversal of 11982800760 is 6700828911.

11982800760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957262 + ... + 969698.

It is an arithmetic number, because the mean of its divisors is an integer number (170151840).

Almost surely, 2^11982800760 is an apocalyptic number.

11982800760 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 11982800760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21779435520).

11982800760 is an abundant number, since it is smaller than the sum of its proper divisors (31576070280).

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

11982800760 is a wasteful number, since it uses less digits than its factorization.

11982800760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11982800760 in words is "eleven billion, nine hundred eighty-two million, eight hundred thousand, seven hundred sixty".