83295127872 has 336 divisors, whose sum is σ = 271101702144. Its totient is φ = 25147584000.

The previous prime is 83295127859. The next prime is 83295127943. The reversal of 83295127872 is 27872159238.

83295127872 is a `hidden beast` number, since 83 + 295 + 1 + 278 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56624097 + ... + 56625567.

It is an arithmetic number, because the mean of its divisors is an integer number (806850304).

Almost surely, 2^83295127872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83295127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135550851072).

83295127872 is an abundant number, since it is smaller than the sum of its proper divisors (187806574272).

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

83295127872 is a wasteful number, since it uses less digits than its factorization.

83295127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1818 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 83295127872 in words is "eighty-three billion, two hundred ninety-five million, one hundred twenty-seven thousand, eight hundred seventy-two".