285312430080 has 520 divisors, whose sum is σ = 1028012044752. Its totient is φ = 75694473216.

The previous prime is 285312430061. The next prime is 285312430153. The reversal of 285312430080 is 80034213582.

285312430080 is a `hidden beast` number, since 2 + 8 + 531 + 2 + 43 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 486051547 + ... + 486052133.

Almost surely, 2^285312430080 is an apocalyptic number.

285312430080 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 285312430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514006022376).

285312430080 is an abundant number, since it is smaller than the sum of its proper divisors (742699614672).

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

285312430080 is an equidigital number, since it uses as much as digits as its factorization.

285312430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 2853124 and 30080, that added together give a square (2883204 = 1698²).

The spelling of 285312430080 in words is "two hundred eighty-five billion, three hundred twelve million, four hundred thirty thousand, eighty".