83828199960 has 96 divisors (see below), whose sum is σ = 272530103040. Its totient is φ = 22346929152.

The previous prime is 83828199953. The next prime is 83828200031. The reversal of 83828199960 is 6999182838.

83828199960 is a `hidden beast` number, since 8 + 382 + 8 + 199 + 9 + 60 = 666.

It is a Cunningham number, because it is equal to 289531²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121929 + ... + 1194311.

It is an arithmetic number, because the mean of its divisors is an integer number (2838855240).

Almost surely, 2^83828199960 is an apocalyptic number.

It is an amenable number.

83828199960 is an abundant number, since it is smaller than the sum of its proper divisors (188701903080).

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

83828199960 is a wasteful number, since it uses less digits than its factorization.

83828199960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75617 (or 75610 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 83828199960 in words is "eighty-three billion, eight hundred twenty-eight million, one hundred ninety-nine thousand, nine hundred sixty".