283225205760 has 1056 divisors, whose sum is σ = 1111157452800. Its totient is φ = 61312204800.

The previous prime is 283225205707. The next prime is 283225205779. The reversal of 283225205760 is 67502522382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1423242141 + ... + 1423242339.

Almost surely, 2^283225205760 is an apocalyptic number.

283225205760 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 283225205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555578726400).

283225205760 is an abundant number, since it is smaller than the sum of its proper divisors (827932247040).

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

283225205760 is a wasteful number, since it uses less digits than its factorization.

283225205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 283225205760 in words is "two hundred eighty-three billion, two hundred twenty-five million, two hundred five thousand, seven hundred sixty".