80032133123008 has 112 divisors (see below), whose sum is σ = 173855613358944. Its totient is φ = 36251590000640.

The previous prime is 80032133123003. The next prime is 80032133123011.

80032133123008 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80032133123003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232359816 + ... + 232703992.

Almost surely, 2^{80032133123008} is an apocalyptic number.

80032133123008 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 80032133123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86927806679472).

80032133123008 is an abundant number, since it is smaller than the sum of its proper divisors (93823480235936).

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

80032133123008 is a wasteful number, since it uses less digits than its factorization.

80032133123008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345350 (or 345340 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 80032133123008 in words is "eighty trillion, thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, eight".