82599620688 has 180 divisors, whose sum is σ = 261198898272. Its totient is φ = 24310091520.

The previous prime is 82599620681. The next prime is 82599620743. The reversal of 82599620688 is 88602699528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82599620681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485943 + ... + 633513.

Almost surely, 2^82599620688 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 82599620688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130599449136).

82599620688 is an abundant number, since it is smaller than the sum of its proper divisors (178599277584).

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

82599620688 is a wasteful number, since it uses less digits than its factorization.

82599620688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147634 (or 147612 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 82599620688 in words is "eighty-two billion, five hundred ninety-nine million, six hundred twenty thousand, six hundred eighty-eight".