285461729280 has 2080 divisors, whose sum is σ = 1321396758528. Its totient is φ = 57330892800.

The previous prime is 285461729261. The next prime is 285461729291. The reversal of 285461729280 is 82927164582.

285461729280 is a `hidden beast` number, since 2 + 8 + 546 + 1 + 7 + 2 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4679700450 + ... + 4679700510.

Almost surely, 2^285461729280 is an apocalyptic number.

285461729280 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 285461729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660698379264).

285461729280 is an abundant number, since it is smaller than the sum of its proper divisors (1035935029248).

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

285461729280 is a wasteful number, since it uses less digits than its factorization.

285461729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 285461729280 in words is "two hundred eighty-five billion, four hundred sixty-one million, seven hundred twenty-nine thousand, two hundred eighty".