285380580240 has 640 divisors, whose sum is σ = 1163935027200. Its totient is φ = 63701116416.

The previous prime is 285380580223. The next prime is 285380580281. The reversal of 285380580240 is 42085083582.

285380580240 is a `hidden beast` number, since 28 + 5 + 3 + 8 + 0 + 580 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52660251 + ... + 52665669.

It is an arithmetic number, because the mean of its divisors is an integer number (1818648480).

Almost surely, 2^285380580240 is an apocalyptic number.

285380580240 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 285380580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581967513600).

285380580240 is an abundant number, since it is smaller than the sum of its proper divisors (878554446960).

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

285380580240 is an equidigital number, since it uses as much as digits as its factorization.

285380580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 285380580240 in words is "two hundred eighty-five billion, three hundred eighty million, five hundred eighty thousand, two hundred forty".