11979233280 has 576 divisors, whose sum is σ = 49061376000. Its totient is φ = 2645360640.

The previous prime is 11979233269. The next prime is 11979233281. The reversal of 11979233280 is 8233297911.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11979233281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19998421 + ... + 19999019.

It is an arithmetic number, because the mean of its divisors is an integer number (85176000).

Almost surely, 2^11979233280 is an apocalyptic number.

11979233280 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 11979233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688000).

11979233280 is an abundant number, since it is smaller than the sum of its proper divisors (37082142720).

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

11979233280 is a wasteful number, since it uses less digits than its factorization.

11979233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11979233280 in words is "eleven billion, nine hundred seventy-nine million, two hundred thirty-three thousand, two hundred eighty".