8158400000 has 120 divisors (see below), whose sum is σ = 20378773800. Its totient is φ = 3262720000.

The previous prime is 8158399999. The next prime is 8158400009. The reversal of 8158400000 is 48518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8158400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597451 + ... + 1602549.

It is an arithmetic number, because the mean of its divisors is an integer number (169823115).

Almost surely, 2^8158400000 is an apocalyptic number.

8158400000 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 8158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189386900).

8158400000 is an abundant number, since it is smaller than the sum of its proper divisors (12220373800).

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

8158400000 is an frugal number, since it uses more digits than its factorization.

8158400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 8158400000 is about 90323.8617420668. The cubic root of 8158400000 is about 2013.1138258511.

Adding to 8158400000 its reverse (48518), we get a palindrome (8158448518).

The spelling of 8158400000 in words is "eight billion, one hundred fifty-eight million, four hundred thousand".