8060806575360 has 4536 divisors, whose sum is σ = 39022044945408. Its totient is φ = 1586453299200.

The previous prime is 8060806575359. The next prime is 8060806575379. The reversal of 8060806575360 is 635756080608.

8060806575360 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 8 + 0 + 6 + 575 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×8060806575360² (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 a junction number, because it is equal to n+sod(n) for n = 8060806575297 and 8060806575306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 171506522857 + ... + 171506522903.

Almost surely, 2^{8060806575360} is an apocalyptic number.

8060806575360 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 8060806575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511022472704).

8060806575360 is an abundant number, since it is smaller than the sum of its proper divisors (30961238370048).

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

8060806575360 is a wasteful number, since it uses less digits than its factorization.

8060806575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 8060806575360 in words is "eight trillion, sixty billion, eight hundred six million, five hundred seventy-five thousand, three hundred sixty".