285190095456 has 672 divisors, whose sum is σ = 1072481679360. Its totient is φ = 72640032768.

The previous prime is 285190095427. The next prime is 285190095499. The reversal of 285190095456 is 654590091582.

285190095456 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 90 + 0 + 9 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52741905 + ... + 52747311.

It is an arithmetic number, because the mean of its divisors is an integer number (1595954880).

Almost surely, 2^285190095456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285190095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536240839680).

285190095456 is an abundant number, since it is smaller than the sum of its proper divisors (787291583904).

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

285190095456 is a wasteful number, since it uses less digits than its factorization.

285190095456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 285190095456 in words is "two hundred eighty-five billion, one hundred ninety million, ninety-five thousand, four hundred fifty-six".