286364045455020 has 288 divisors, whose sum is σ = 940933901561472. Its totient is φ = 70076886257664.

The previous prime is 286364045455009. The next prime is 286364045455127. The reversal of 286364045455020 is 20554540463682.

286364045455020 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 6 + 40 + 4 + 545 + 50 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10599388552 + ... + 10599415568.

It is an arithmetic number, because the mean of its divisors is an integer number (3267131602644).

Almost surely, 2^{286364045455020} is an apocalyptic number.

286364045455020 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 286364045455020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470466950780736).

286364045455020 is an abundant number, since it is smaller than the sum of its proper divisors (654569856106452).

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

286364045455020 is a wasteful number, since it uses less digits than its factorization.

286364045455020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53401 (or 53396 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 286364045455020 in words is "two hundred eighty-six trillion, three hundred sixty-four billion, forty-five million, four hundred fifty-five thousand, twenty".