8161888320 has 336 divisors, whose sum is σ = 29782373760. Its totient is φ = 2104151040.

The previous prime is 8161888291. The next prime is 8161888331. The reversal of 8161888320 is 238881618.

8161888320 is a `hidden beast` number, since 8 + 1 + 618 + 8 + 8 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8302549 + ... + 8303531.

Almost surely, 2^8161888320 is an apocalyptic number.

8161888320 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 8161888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891186880).

8161888320 is an abundant number, since it is smaller than the sum of its proper divisors (21620485440).

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

8161888320 is a wasteful number, since it uses less digits than its factorization.

8161888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8161888320 is about 90343.1697473583. The cubic root of 8161888320 is about 2013.4007033677.

The spelling of 8161888320 in words is "eight billion, one hundred sixty-one million, eight hundred eighty-eight thousand, three hundred twenty".