8601600000 has 432 divisors, whose sum is σ = 32765777856. Its totient is φ = 1966080000.

The previous prime is 8601599989. The next prime is 8601600019. The reversal of 8601600000 is 61068.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 8601600000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228799997 + ... + 1228800003.

It is an arithmetic number, because the mean of its divisors is an integer number (75846708).

Almost surely, 2^8601600000 is an apocalyptic number.

8601600000 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 8601600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382888928).

8601600000 is an abundant number, since it is smaller than the sum of its proper divisors (24164177856).

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

8601600000 is an frugal number, since it uses more digits than its factorization.

8601600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8601600000 is about 92744.8111756124. The cubic root of 8601600000 is about 2048.9266639800.

Adding to 8601600000 its reverse (61068), we get a palindrome (8601661068).

The spelling of 8601600000 in words is "eight billion, six hundred one million, six hundred thousand".