8013273962880 has 512 divisors, whose sum is σ = 28039932518400. Its totient is φ = 1937742888960.

The previous prime is 8013273962873. The next prime is 8013273962887. The reversal of 8013273962880 is 882693723108.

It is an interprime number because it is at equal distance from previous prime (8013273962873) and next prime (8013273962887).

It is a self number, because there is not a number n which added to its sum of digits gives 8013273962880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013273962887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231694069 + ... + 231728651.

It is an arithmetic number, because the mean of its divisors is an integer number (54765493200).

Almost surely, 2^{8013273962880} is an apocalyptic number.

8013273962880 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 8013273962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019966259200).

8013273962880 is an abundant number, since it is smaller than the sum of its proper divisors (20026658555520).

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

8013273962880 is a wasteful number, since it uses less digits than its factorization.

8013273962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34882 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 8013273962880 in words is "eight trillion, thirteen billion, two hundred seventy-three million, nine hundred sixty-two thousand, eight hundred eighty".