283872235063200 has 1152 divisors, whose sum is σ = 1108527449702400. Its totient is φ = 61727906365440.

The previous prime is 283872235063199. The next prime is 283872235063211. The reversal of 283872235063200 is 2360532278382.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15487591636 + ... + 15487609964.

It is an arithmetic number, because the mean of its divisors is an integer number (962263411200).

Almost surely, 2^{283872235063200} is an apocalyptic number.

283872235063200 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 283872235063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554263724851200).

283872235063200 is an abundant number, since it is smaller than the sum of its proper divisors (824655214639200).

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

283872235063200 is a wasteful number, since it uses less digits than its factorization.

283872235063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18854 (or 18841 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 283872235063200 in words is "two hundred eighty-three trillion, eight hundred seventy-two billion, two hundred thirty-five million, sixty-three thousand, two hundred".