11981299680 has 864 divisors, whose sum is σ = 52075820160. Its totient is φ = 2586608640.

The previous prime is 11981299669. The next prime is 11981299691. The reversal of 11981299680 is 8699218911.

It is an interprime number because it is at equal distance from previous prime (11981299669) and next prime (11981299691).

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36197115 + ... + 36197445.

It is an arithmetic number, because the mean of its divisors is an integer number (60272940).

Almost surely, 2^11981299680 is an apocalyptic number.

11981299680 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 11981299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037910080).

11981299680 is an abundant number, since it is smaller than the sum of its proper divisors (40094520480).

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

11981299680 is a wasteful number, since it uses less digits than its factorization.

11981299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 11981299680 in words is "eleven billion, nine hundred eighty-one million, two hundred ninety-nine thousand, six hundred eighty".