286900000506 has 192 divisors, whose sum is σ = 778057353216. Its totient is φ = 74508595200.

The previous prime is 286900000493. The next prime is 286900000531. The reversal of 286900000506 is 605000009682.

It is a super-2 number, since 2×286900000506² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34591296 + ... + 34599588.

It is an arithmetic number, because the mean of its divisors is an integer number (4052382048).

Almost surely, 2^286900000506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286900000506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389028676608).

286900000506 is an abundant number, since it is smaller than the sum of its proper divisors (491157352710).

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

286900000506 is a wasteful number, since it uses less digits than its factorization.

286900000506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 286900000506 in words is "two hundred eighty-six billion, nine hundred million, five hundred six", and thus it is an aban number.