8505794752 has 336 divisors, whose sum is σ = 22701504000. Its totient is φ = 3124832256.

The previous prime is 8505794747. The next prime is 8505794777. The reversal of 8505794752 is 2574975058.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 8505794752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61192699 + ... + 61192837.

It is an arithmetic number, because the mean of its divisors is an integer number (67564000).

Almost surely, 2^8505794752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350752000).

8505794752 is an abundant number, since it is smaller than the sum of its proper divisors (14195709248).

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

8505794752 is a wasteful number, since it uses less digits than its factorization.

8505794752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 52.

The square root of 8505794752 is about 92226.8656737287. The cubic root of 8505794752 is about 2041.2912138264.

The spelling of 8505794752 in words is "eight billion, five hundred five million, seven hundred ninety-four thousand, seven hundred fifty-two".