83255985596160 has 576 divisors, whose sum is σ = 329140922947200. Its totient is φ = 19787095867392.

The previous prime is 83255985596159. The next prime is 83255985596183. The reversal of 83255985596160 is 6169558955238.

83255985596160 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 5 + 9 + 8 + 559 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9834124 + ... + 16224116.

It is an arithmetic number, because the mean of its divisors is an integer number (571425213450).

Almost surely, 2^{83255985596160} is an apocalyptic number.

83255985596160 is a gapful number since it is divisible by the number (80) 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 83255985596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164570461473600).

83255985596160 is an abundant number, since it is smaller than the sum of its proper divisors (245884937351040).

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

83255985596160 is a wasteful number, since it uses less digits than its factorization.

83255985596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390065 (or 6390045 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 83255985596160 in words is "eighty-three trillion, two hundred fifty-five billion, nine hundred eighty-five million, five hundred ninety-six thousand, one hundred sixty".