8125200000 has 576 divisors, whose sum is σ = 30506406840. Its totient is φ = 2073600000.

The previous prime is 8125199959. The next prime is 8125200023. The reversal of 8125200000 is 25218.

It can be written as a sum of positive squares in 12 ways, for example, as 4359168576 + 3766031424 = 66024^2 + 61368^2 .

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133199970 + ... + 133200030.

Almost surely, 2^8125200000 is an apocalyptic number.

8125200000 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 8125200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253203420).

8125200000 is an abundant number, since it is smaller than the sum of its proper divisors (22381206840).

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

8125200000 is an equidigital number, since it uses as much as digits as its factorization.

8125200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8125200000 is about 90139.8912801652. The cubic root of 8125200000 is about 2010.3793744443.

Adding to 8125200000 its reverse (25218), we get a palindrome (8125225218).

The spelling of 8125200000 in words is "eight billion, one hundred twenty-five million, two hundred thousand".