8305139494080 has 1344 divisors, whose sum is σ = 34784379504000. Its totient is φ = 1852991078400.

The previous prime is 8305139494079. The next prime is 8305139494097. The reversal of 8305139494080 is 804949315038.

8305139494080 is a `hidden beast` number, since 8 + 3 + 0 + 513 + 9 + 4 + 9 + 40 + 80 = 666.

It is a super-2 number, since 2×8305139494080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6102232600 + ... + 6102233960.

It is an arithmetic number, because the mean of its divisors is an integer number (25881234750).

Almost surely, 2^{8305139494080} is an apocalyptic number.

8305139494080 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 8305139494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392189752000).

8305139494080 is an abundant number, since it is smaller than the sum of its proper divisors (26479240009920).

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

8305139494080 is a wasteful number, since it uses less digits than its factorization.

8305139494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8305139494080 in words is "eight trillion, three hundred five billion, one hundred thirty-nine million, four hundred ninety-four thousand, eighty".