8534956560 has 160 divisors (see below), whose sum is σ = 29993496960. Its totient is φ = 1990324224.

The previous prime is 8534956553. The next prime is 8534956567. The reversal of 8534956560 is 656594358.

It is an interprime number because it is at equal distance from previous prime (8534956553) and next prime (8534956567).

It is not an unprimeable number, because it can be changed into a prime (8534956567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12709 + ... + 131268.

It is an arithmetic number, because the mean of its divisors is an integer number (187459356).

Almost surely, 2^8534956560 is an apocalyptic number.

8534956560 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 8534956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996748480).

8534956560 is an abundant number, since it is smaller than the sum of its proper divisors (21458540400).

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

8534956560 is a wasteful number, since it uses less digits than its factorization.

8534956560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144025 (or 144019 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The square root of 8534956560 is about 92384.8286246178. The cubic root of 8534956560 is about 2043.6213837830.

The spelling of 8534956560 in words is "eight billion, five hundred thirty-four million, nine hundred fifty-six thousand, five hundred sixty".