11982879720 has 256 divisors, whose sum is σ = 48052224000. Its totient is φ = 2594757888.

The previous prime is 11982879691. The next prime is 11982879731. The reversal of 11982879720 is 2797828911.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101929 + ... + 185351.

It is an arithmetic number, because the mean of its divisors is an integer number (187704000).

Almost surely, 2^11982879720 is an apocalyptic number.

11982879720 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 11982879720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24026112000).

11982879720 is an abundant number, since it is smaller than the sum of its proper divisors (36069344280).

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

11982879720 is a wasteful number, since it uses less digits than its factorization.

11982879720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83469 (or 83459 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11982879720 in words is "eleven billion, nine hundred eighty-two million, eight hundred seventy-nine thousand, seven hundred twenty".