8559860400 has 1440 divisors, whose sum is σ = 40801138560. Its totient is φ = 1610219520.

The previous prime is 8559860381. The next prime is 8559860443. The reversal of 8559860400 is 40689558.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161506774 + ... + 161506826.

It is an arithmetic number, because the mean of its divisors is an integer number (28334124).

Almost surely, 2^8559860400 is an apocalyptic number.

8559860400 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 8559860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400569280).

8559860400 is an abundant number, since it is smaller than the sum of its proper divisors (32241278160).

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

8559860400 is a wasteful number, since it uses less digits than its factorization.

8559860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8559860400 is about 92519.5136173986. The cubic root of 8559860400 is about 2045.6071232177.

The spelling of 8559860400 in words is "eight billion, five hundred fifty-nine million, eight hundred sixty thousand, four hundred".