283404991680 has 1344 divisors, whose sum is σ = 1114696028160. Its totient is φ = 65808433152.

The previous prime is 283404991669. The next prime is 283404991687. The reversal of 283404991680 is 86199404382.

283404991680 is a `hidden beast` number, since 28 + 3 + 40 + 499 + 16 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (283404991687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3882260124 + ... + 3882260196.

Almost surely, 2^283404991680 is an apocalyptic number.

283404991680 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 283404991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557348014080).

283404991680 is an abundant number, since it is smaller than the sum of its proper divisors (831291036480).

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

283404991680 is a wasteful number, since it uses less digits than its factorization.

283404991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 283404991680 in words is "two hundred eighty-three billion, four hundred four million, nine hundred ninety-one thousand, six hundred eighty".