286869248640 has 384 divisors, whose sum is σ = 1070355686400. Its totient is φ = 70378315776.

The previous prime is 286869248629. The next prime is 286869248657. The reversal of 286869248640 is 46842968682.

286869248640 is a `hidden beast` number, since 2 + 8 + 68 + 6 + 92 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22981921 + ... + 22994399.

It is an arithmetic number, because the mean of its divisors is an integer number (2787384600).

Almost surely, 2^286869248640 is an apocalyptic number.

286869248640 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 286869248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535177843200).

286869248640 is an abundant number, since it is smaller than the sum of its proper divisors (783486437760).

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

286869248640 is a wasteful number, since it uses less digits than its factorization.

286869248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 286869248640 in words is "two hundred eighty-six billion, eight hundred sixty-nine million, two hundred forty-eight thousand, six hundred forty".