284290560000 has 780 divisors, whose sum is σ = 1066485171752. Its totient is φ = 75644928000.

The previous prime is 284290559999. The next prime is 284290560017. The reversal of 284290560000 is 65092482.

It is a happy number.

284290560000 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 90 + 560 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×284290560000² (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 59 ways as a sum of consecutive naturals, for example, 622079772 + ... + 622080228.

Almost surely, 2^284290560000 is an apocalyptic number.

284290560000 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 284290560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533242585876).

284290560000 is an abundant number, since it is smaller than the sum of its proper divisors (782194611752).

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

284290560000 is an frugal number, since it uses more digits than its factorization.

284290560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 284290560000 in words is "two hundred eighty-four billion, two hundred ninety million, five hundred sixty thousand".