286980114960 has 960 divisors, whose sum is σ = 1236081600000. Its totient is φ = 59148472320.

The previous prime is 286980114931. The next prime is 286980114991. The reversal of 286980114960 is 69411089682.

286980114960 is a `hidden beast` number, since 2 + 8 + 69 + 80 + 11 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 286980114897 and 286980114906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404767086 + ... + 404767794.

It is an arithmetic number, because the mean of its divisors is an integer number (1287585000).

Almost surely, 2^286980114960 is an apocalyptic number.

286980114960 is a gapful number since it is divisible by the number (20) 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 286980114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618040800000).

286980114960 is an abundant number, since it is smaller than the sum of its proper divisors (949101485040).

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

286980114960 is a wasteful number, since it uses less digits than its factorization.

286980114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 286980114960 in words is "two hundred eighty-six billion, nine hundred eighty million, one hundred fourteen thousand, nine hundred sixty".