8432133538080 has 576 divisors, whose sum is σ = 31991721431040. Its totient is φ = 1859484211200.

The previous prime is 8432133538069. The next prime is 8432133538123. The reversal of 8432133538080 is 808353312348.

It is a super-2 number, since 2×8432133538080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241321251 + ... + 241356189.

It is an arithmetic number, because the mean of its divisors is an integer number (55541183040).

Almost surely, 2^{8432133538080} is an apocalyptic number.

8432133538080 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 8432133538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995860715520).

8432133538080 is an abundant number, since it is smaller than the sum of its proper divisors (23559587892960).

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

8432133538080 is a wasteful number, since it uses less digits than its factorization.

8432133538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35333 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 8432133538080 in words is "eight trillion, four hundred thirty-two billion, one hundred thirty-three million, five hundred thirty-eight thousand, eighty".