8099101920 has 576 divisors, whose sum is σ = 33469148160. Its totient is φ = 1606385664.

The previous prime is 8099101919. The next prime is 8099101921. The reversal of 8099101920 is 291019908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8099101919) and next prime (8099101921).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8099101921) 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 95 ways as a sum of consecutive naturals, for example, 9652861 + ... + 9653699.

It is an arithmetic number, because the mean of its divisors is an integer number (58106160).

Almost surely, 2^8099101920 is an apocalyptic number.

8099101920 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 8099101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734574080).

8099101920 is an abundant number, since it is smaller than the sum of its proper divisors (25370046240).

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

8099101920 is a wasteful number, since it uses less digits than its factorization.

8099101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 8099101920 is about 89995.0105283621. The cubic root of 8099101920 is about 2008.2246247447.

The spelling of 8099101920 in words is "eight billion, ninety-nine million, one hundred one thousand, nine hundred twenty".