83260636272 has 360 divisors, whose sum is σ = 268456380192. Its totient is φ = 24025605120.

The previous prime is 83260636271. The next prime is 83260636273. The reversal of 83260636272 is 27263606238.

83260636272 is a `hidden beast` number, since 8 + 3 + 2 + 6 + 0 + 636 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (83260636271) and next prime (83260636273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83260636271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149480218 + ... + 149480774.

Almost surely, 2^83260636272 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 83260636272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134228190096).

83260636272 is an abundant number, since it is smaller than the sum of its proper divisors (185195743920).

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

83260636272 is a wasteful number, since it uses less digits than its factorization.

83260636272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 83260636272 in words is "eighty-three billion, two hundred sixty million, six hundred thirty-six thousand, two hundred seventy-two".