8162896180400 has 120 divisors (see below), whose sum is σ = 21123428482800. Its totient is φ = 3013492331520.

The previous prime is 8162896180393. The next prime is 8162896180451. The reversal of 8162896180400 is 40816982618.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31972451 + ... + 32226749.

It is an arithmetic number, because the mean of its divisors is an integer number (176028570690).

Almost surely, 2^{8162896180400} is an apocalyptic number.

8162896180400 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 8162896180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561714241400).

8162896180400 is an abundant number, since it is smaller than the sum of its proper divisors (12960532302400).

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

8162896180400 is a wasteful number, since it uses less digits than its factorization.

8162896180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260503 (or 260492 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 8162896180400 in words is "eight trillion, one hundred sixty-two billion, eight hundred ninety-six million, one hundred eighty thousand, four hundred".