834986311680 has 168 divisors, whose sum is σ = 2672005254912. Its totient is φ = 222658822144.

The previous prime is 834986311633. The next prime is 834986311721. The reversal of 834986311680 is 86113689438.

It is a self number, because there is not a number n which added to its sum of digits gives 834986311680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15702097 + ... + 15755183.

It is an arithmetic number, because the mean of its divisors is an integer number (15904793184).

Almost surely, 2^834986311680 is an apocalyptic number.

834986311680 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 834986311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336002627456).

834986311680 is an abundant number, since it is smaller than the sum of its proper divisors (1837018943232).

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

834986311680 is an frugal number, since it uses more digits than its factorization.

834986311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53135 (or 53097 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 834986311680 in words is "eight hundred thirty-four billion, nine hundred eighty-six million, three hundred eleven thousand, six hundred eighty".