8172135360 has 280 divisors, whose sum is σ = 29361542496. Its totient is φ = 2157373440.

The previous prime is 8172135319. The next prime is 8172135427. The reversal of 8172135360 is 635312718.

8172135360 is a `hidden beast` number, since 81 + 7 + 213 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2668230 + ... + 2671290.

Almost surely, 2^8172135360 is an apocalyptic number.

8172135360 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 8172135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680771248).

8172135360 is an abundant number, since it is smaller than the sum of its proper divisors (21189407136).

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

8172135360 is a wasteful number, since it uses less digits than its factorization.

8172135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8172135360 is about 90399.8637167114. The cubic root of 8172135360 is about 2014.2429418584.

The spelling of 8172135360 in words is "eight billion, one hundred seventy-two million, one hundred thirty-five thousand, three hundred sixty".