83431270272 has 384 divisors, whose sum is σ = 269807984640. Its totient is φ = 22371987456.

The previous prime is 83431270231. The next prime is 83431270309. The reversal of 83431270272 is 27207213438.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 83431270272.

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, 123236398 + ... + 123237074.

It is an arithmetic number, because the mean of its divisors is an integer number (702624960).

Almost surely, 2^83431270272 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 83431270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134903992320).

83431270272 is an abundant number, since it is smaller than the sum of its proper divisors (186376714368).

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

83431270272 is a wasteful number, since it uses less digits than its factorization.

83431270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 83431270272 in words is "eighty-three billion, four hundred thirty-one million, two hundred seventy thousand, two hundred seventy-two".