80735815480320 has 4752 divisors, whose sum is σ = 398153836499328. Its totient is φ = 15485790781440.

The previous prime is 80735815480291. The next prime is 80735815480349. The reversal of 80735815480320 is 2308451853708.

80735815480320 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 581 + 54 + 8 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80735815480291) and next prime (80735815480349).

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 6210447344634 + ... + 6210447344646.

Almost surely, 2^{80735815480320} is an apocalyptic number.

80735815480320 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 80735815480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199076918249664).

80735815480320 is an abundant number, since it is smaller than the sum of its proper divisors (317418021019008).

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

80735815480320 is an frugal number, since it uses more digits than its factorization.

80735815480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 80735815480320 in words is "eighty trillion, seven hundred thirty-five billion, eight hundred fifteen million, four hundred eighty thousand, three hundred twenty".