8165455200 has 432 divisors, whose sum is σ = 34642782720. Its totient is φ = 1767951360.

The previous prime is 8165455187. The next prime is 8165455241. The reversal of 8165455200 is 25545618.

8165455200 is a `hidden beast` number, since 81 + 6 + 54 + 5 + 520 + 0 = 666.

It is a super-3 number, since 3×8165455200³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 953337 + ... + 961863.

Almost surely, 2^8165455200 is an apocalyptic number.

8165455200 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 8165455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321391360).

8165455200 is an abundant number, since it is smaller than the sum of its proper divisors (26477327520).

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

8165455200 is a wasteful number, since it uses less digits than its factorization.

8165455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 8165455200 is about 90362.9083197304. The cubic root of 8165455200 is about 2013.6939571067.

The spelling of 8165455200 in words is "eight billion, one hundred sixty-five million, four hundred fifty-five thousand, two hundred".