11679390720 has 264 divisors, whose sum is σ = 40845117456. Its totient is φ = 3085565952.

The previous prime is 11679390707. The next prime is 11679390743. The reversal of 11679390720 is 2709397611.

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 23 ways as a sum of consecutive naturals, for example, 5205919 + ... + 5208161.

It is an arithmetic number, because the mean of its divisors is an integer number (154716354).

Almost surely, 2^11679390720 is an apocalyptic number.

11679390720 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 11679390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422558728).

11679390720 is an abundant number, since it is smaller than the sum of its proper divisors (29165726736).

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

11679390720 is a wasteful number, since it uses less digits than its factorization.

11679390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 11679390720 in words is "eleven billion, six hundred seventy-nine million, three hundred ninety thousand, seven hundred twenty".