285715090080 has 576 divisors, whose sum is σ = 1177331500800. Its totient is φ = 61637345280.

The previous prime is 285715089929. The next prime is 285715090081. The reversal of 285715090080 is 80090517582.

It is a happy number.

285715090080 is a `hidden beast` number, since 28 + 571 + 50 + 9 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×285715090080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (285715090081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53814466 + ... + 53819774.

It is an arithmetic number, because the mean of its divisors is an integer number (2043978300).

Almost surely, 2^285715090080 is an apocalyptic number.

285715090080 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 285715090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588665750400).

285715090080 is an abundant number, since it is smaller than the sum of its proper divisors (891616410720).

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

285715090080 is a wasteful number, since it uses less digits than its factorization.

285715090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 285715090080 in words is "two hundred eighty-five billion, seven hundred fifteen million, ninety thousand, eighty".