286493864020 has 384 divisors, whose sum is σ = 774545587200. Its totient is φ = 86615654400.

The previous prime is 286493863987. The next prime is 286493864021. The reversal of 286493864020 is 20468394682.

It is a super-2 number, since 2×286493864020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286493864021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1188771100 + ... + 1188771340.

It is an arithmetic number, because the mean of its divisors is an integer number (2017045800).

Almost surely, 2^286493864020 is an apocalyptic number.

286493864020 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 286493864020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387272793600).

286493864020 is an abundant number, since it is smaller than the sum of its proper divisors (488051723180).

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

286493864020 is a wasteful number, since it uses less digits than its factorization.

286493864020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 286493864020 in words is "two hundred eighty-six billion, four hundred ninety-three million, eight hundred sixty-four thousand, twenty".