11687957280 has 288 divisors, whose sum is σ = 42136174080. Its totient is φ = 2945617920.

The previous prime is 11687957279. The next prime is 11687957339. The reversal of 11687957280 is 8275978611.

11687957280 is a `hidden beast` number, since 1 + 1 + 68 + 7 + 9 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916476 + ... + 1922564.

It is an arithmetic number, because the mean of its divisors is an integer number (146306160).

Almost surely, 2^11687957280 is an apocalyptic number.

11687957280 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 11687957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068087040).

11687957280 is an abundant number, since it is smaller than the sum of its proper divisors (30448216800).

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

11687957280 is a wasteful number, since it uses less digits than its factorization.

11687957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6184 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11687957280 in words is "eleven billion, six hundred eighty-seven million, nine hundred fifty-seven thousand, two hundred eighty".