83860594272 has 768 divisors, whose sum is σ = 321640704000. Its totient is φ = 20639121408.

The previous prime is 83860594247. The next prime is 83860594283. The reversal of 83860594272 is 27249506838.

83860594272 is a `hidden beast` number, since 8 + 3 + 8 + 605 + 9 + 4 + 27 + 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 127 ways as a sum of consecutive naturals, for example, 109051104 + ... + 109051872.

It is an arithmetic number, because the mean of its divisors is an integer number (418803000).

Almost surely, 2^83860594272 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 83860594272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160820352000).

83860594272 is an abundant number, since it is smaller than the sum of its proper divisors (237780109728).

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

83860594272 is a wasteful number, since it uses less digits than its factorization.

83860594272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83860594272 in words is "eighty-three billion, eight hundred sixty million, five hundred ninety-four thousand, two hundred seventy-two".