83002600000 has 84 divisors (see below), whose sum is σ = 205872674868. Its totient is φ = 33200960000.

The previous prime is 83002599997. The next prime is 83002600007. The reversal of 83002600000 is 620038.

It can be written as a sum of positive squares in 6 ways, for example, as 80143345216 + 2859254784 = 283096^2 + 53472^2 .

It is not an unprimeable number, because it can be changed into a prime (83002600007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7507 + ... + 407506.

It is an arithmetic number, because the mean of its divisors is an integer number (2450865177).

Almost surely, 2^83002600000 is an apocalyptic number.

83002600000 is a gapful number since it is divisible by the number (80) 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 83002600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936337434).

83002600000 is an abundant number, since it is smaller than the sum of its proper divisors (122870074868).

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

83002600000 is an frugal number, since it uses more digits than its factorization.

83002600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415050 (or 415020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 83002600000 in words is "eighty-three billion, two million, six hundred thousand".