11886305760 has 576 divisors, whose sum is σ = 49759557120. Its totient is φ = 2523156480.

The previous prime is 11886305729. The next prime is 11886305791. The reversal of 11886305760 is 6750368811.

11886305760 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 630 + 5 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11886305729) and next prime (11886305791).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 10149975 + ... + 10151145.

It is an arithmetic number, because the mean of its divisors is an integer number (86388120).

Almost surely, 2^11886305760 is an apocalyptic number.

11886305760 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 11886305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879778560).

11886305760 is an abundant number, since it is smaller than the sum of its proper divisors (37873251360).

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

11886305760 is a wasteful number, since it uses less digits than its factorization.

11886305760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11886305760 in words is "eleven billion, eight hundred eighty-six million, three hundred five thousand, seven hundred sixty".