8265045600 has 1080 divisors, whose sum is σ = 37176761160. Its totient is φ = 1776660480.

The previous prime is 8265045589. The next prime is 8265045643. The reversal of 8265045600 is 65405628.

8265045600 is a `hidden beast` number, since 8 + 2 + 6 + 5 + 0 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 60328732 + ... + 60328868.

It is an arithmetic number, because the mean of its divisors is an integer number (34422927).

Almost surely, 2^8265045600 is an apocalyptic number.

8265045600 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 8265045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588380580).

8265045600 is an abundant number, since it is smaller than the sum of its proper divisors (28911715560).

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

8265045600 is a wasteful number, since it uses less digits than its factorization.

8265045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8265045600 is about 90912.2961980391. The cubic root of 8265045600 is about 2021.8476053819.

The spelling of 8265045600 in words is "eight billion, two hundred sixty-five million, forty-five thousand, six hundred".