8208148020080 has 80 divisors (see below), whose sum is σ = 19446114074400. Its totient is φ = 3220963759104.

The previous prime is 8208148020053. The next prime is 8208148020119. The reversal of 8208148020080 is 800208418028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41168471 + ... + 41367369.

It is an arithmetic number, because the mean of its divisors is an integer number (243076425930).

Almost surely, 2^{8208148020080} is an apocalyptic number.

8208148020080 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 8208148020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723057037200).

8208148020080 is an abundant number, since it is smaller than the sum of its proper divisors (11237966054320).

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

8208148020080 is a wasteful number, since it uses less digits than its factorization.

8208148020080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208698 (or 208692 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The spelling of 8208148020080 in words is "eight trillion, two hundred eight billion, one hundred forty-eight million, twenty thousand, eighty".