8573789952 has 576 divisors, whose sum is σ = 32031605760. Its totient is φ = 2201665536.

The previous prime is 8573789951. The next prime is 8573789953. The reversal of 8573789952 is 2599873758.

8573789952 is a `hidden beast` number, since 8 + 573 + 7 + 8 + 9 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (8573789951) and next prime (8573789953).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (38102400) is a multiple of the sum of its prime factors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 8573789952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8573789951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27046498 + ... + 27046814.

Almost surely, 2^8573789952 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 8573789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015802880).

8573789952 is an abundant number, since it is smaller than the sum of its proper divisors (23457815808).

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

8573789952 is a wasteful number, since it uses less digits than its factorization.

8573789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The square root of 8573789952 is about 92594.7620116818. The cubic root of 8573789952 is about 2046.7161346195.

It can be divided in two parts, 857 and 3789952, that added together give a square (3790809 = 1947²).

The spelling of 8573789952 in words is "eight billion, five hundred seventy-three million, seven hundred eighty-nine thousand, nine hundred fifty-two".