8153323920 has 400 divisors, whose sum is σ = 32581486080. Its totient is φ = 1851061248.

The previous prime is 8153323883. The next prime is 8153323921. The reversal of 8153323920 is 293233518.

8153323920 is a `hidden beast` number, since 81 + 533 + 23 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8153323921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7846761 + ... + 7847799.

Almost surely, 2^8153323920 is an apocalyptic number.

8153323920 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 8153323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290743040).

8153323920 is an abundant number, since it is smaller than the sum of its proper divisors (24428162160).

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

8153323920 is a wasteful number, since it uses less digits than its factorization.

8153323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 8153323920 is about 90295.7580398991. The cubic root of 8153323920 is about 2012.6962257132.

The spelling of 8153323920 in words is "eight billion, one hundred fifty-three million, three hundred twenty-three thousand, nine hundred twenty".