83259948288 has 288 divisors, whose sum is σ = 247298752512. Its totient is φ = 24656486400.

The previous prime is 83259948287. The next prime is 83259948337. The reversal of 83259948288 is 88284995238.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83259948287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76175070 + ... + 76176162.

It is an arithmetic number, because the mean of its divisors is an integer number (858676224).

Almost surely, 2^83259948288 is an apocalyptic number.

83259948288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83259948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123649376256).

83259948288 is an abundant number, since it is smaller than the sum of its proper divisors (164038804224).

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

83259948288 is a wasteful number, since it uses less digits than its factorization.

83259948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 66.

The spelling of 83259948288 in words is "eighty-three billion, two hundred fifty-nine million, nine hundred forty-eight thousand, two hundred eighty-eight".