11986670304 has 480 divisors, whose sum is σ = 42198976512. Its totient is φ = 3265920000.

The previous prime is 11986670291. The next prime is 11986670329. The reversal of 11986670304 is 40307668911.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11986670304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56808759 + ... + 56808969.

Almost surely, 2^11986670304 is an apocalyptic number.

11986670304 is a gapful number since it is divisible by the number (14) 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 11986670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099488256).

11986670304 is an abundant number, since it is smaller than the sum of its proper divisors (30212306208).

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

11986670304 is a wasteful number, since it uses less digits than its factorization.

11986670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11986670304 in words is "eleven billion, nine hundred eighty-six million, six hundred seventy thousand, three hundred four".