285370128000 has 640 divisors, whose sum is σ = 1094216048640. Its totient is φ = 73633536000.

The previous prime is 285370127993. The next prime is 285370128041. The reversal of 285370128000 is 821073582.

285370128000 is a `hidden beast` number, since 2 + 8 + 5 + 370 + 1 + 280 + 0 + 0 = 666.

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

It is a super-2 number, since 2×285370128000² (a number of 24 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 40172449 + ... + 40179551.

It is an arithmetic number, because the mean of its divisors is an integer number (1709712576).

Almost surely, 2^285370128000 is an apocalyptic number.

285370128000 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 285370128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547108024320).

285370128000 is an abundant number, since it is smaller than the sum of its proper divisors (808845920640).

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

285370128000 is an equidigital number, since it uses as much as digits as its factorization.

285370128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 285370128000 in words is "two hundred eighty-five billion, three hundred seventy million, one hundred twenty-eight thousand".