285055787520 has 640 divisors, whose sum is σ = 1166553907200. Its totient is φ = 64628637696.

The previous prime is 285055787441. The next prime is 285055787543. The reversal of 285055787520 is 25787550582.

285055787520 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 557 + 87 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 61445361 + ... + 61449999.

It is an arithmetic number, because the mean of its divisors is an integer number (1822740480).

Almost surely, 2^285055787520 is an apocalyptic number.

285055787520 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 285055787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583276953600).

285055787520 is an abundant number, since it is smaller than the sum of its proper divisors (881498119680).

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

285055787520 is a wasteful number, since it uses less digits than its factorization.

285055787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 285055787520 in words is "two hundred eighty-five billion, fifty-five million, seven hundred eighty-seven thousand, five hundred twenty".