285583258116 has 240 divisors, whose sum is σ = 822140278960. Its totient is φ = 86418109440.

The previous prime is 285583258109. The next prime is 285583258139. The reversal of 285583258116 is 611852385582.

285583258116 is a `hidden beast` number, since 2 + 8 + 5 + 58 + 3 + 2 + 581 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 185505935616 + 100077322500 = 430704^2 + 316350^2 .

It is a super-2 number, since 2×285583258116² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43418220 + ... + 43424796.

Almost surely, 2^285583258116 is an apocalyptic number.

285583258116 is a gapful number since it is divisible by the number (26) 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 285583258116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411070139480).

285583258116 is an abundant number, since it is smaller than the sum of its proper divisors (536557020844).

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

285583258116 is a wasteful number, since it uses less digits than its factorization.

285583258116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6656 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 285583258116 in words is "two hundred eighty-five billion, five hundred eighty-three million, two hundred fifty-eight thousand, one hundred sixteen".