8131588920 has 1024 divisors, whose sum is σ = 36694425600. Its totient is φ = 1552711680.

The previous prime is 8131588853. The next prime is 8131588921. The reversal of 8131588920 is 298851318.

It is a happy number.

It is a super-2 number, since 2×8131588920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131588921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51793482 + ... + 51793638.

It is an arithmetic number, because the mean of its divisors is an integer number (35834400).

Almost surely, 2^8131588920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131588920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347212800).

8131588920 is an abundant number, since it is smaller than the sum of its proper divisors (28562836680).

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

8131588920 is a wasteful number, since it uses less digits than its factorization.

8131588920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 8131588920 is about 90175.3232320240. The cubic root of 8131588920 is about 2010.9061630350.

The spelling of 8131588920 in words is "eight billion, one hundred thirty-one million, five hundred eighty-eight thousand, nine hundred twenty".