800125521008 has 120 divisors (see below), whose sum is σ = 1753391704320. Its totient is φ = 350727511680.

The previous prime is 800125520983. The next prime is 800125521011.

It is a happy number.

800125521008 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25692935 + ... + 25724057.

It is an arithmetic number, because the mean of its divisors is an integer number (14611597536).

Almost surely, 2^800125521008 is an apocalyptic number.

800125521008 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 800125521008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876695852160).

800125521008 is an abundant number, since it is smaller than the sum of its proper divisors (953266183312).

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

800125521008 is a wasteful number, since it uses less digits than its factorization.

800125521008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31307 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The spelling of 800125521008 in words is "eight hundred billion, one hundred twenty-five million, five hundred twenty-one thousand, eight".