8008000000032 has 96 divisors (see below), whose sum is σ = 21288737433600. Its totient is φ = 2635340168448.

The previous prime is 8008000000003. The next prime is 8008000000037. The reversal of 8008000000032 is 2300000008008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8007999999945 and 8008000000008.

It is not an unprimeable number, because it can be changed into a prime (8008000000037) 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, 121819269 + ... + 121884987.

It is an arithmetic number, because the mean of its divisors is an integer number (221757681600).

Almost surely, 2^{8008000000032} 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 8008000000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644368716800).

8008000000032 is an abundant number, since it is smaller than the sum of its proper divisors (13280737433568).

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

8008000000032 is a wasteful number, since it uses less digits than its factorization.

8008000000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81878 (or 81870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 8008000000032 in words is "eight trillion, eight billion, thirty-two", and thus it is an aban number and an uban number.