8009920535850 has 144 divisors (see below), whose sum is σ = 22415343638688. Its totient is φ = 2126568479040.

The previous prime is 8009920535843. The next prime is 8009920535863. The reversal of 8009920535850 is 585350299008.

8009920535850 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 9 + 2 + 0 + 53 + 585 + 0 = 666.

It is a super-2 number, since 2×8009920535850² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305952 + ... + 4210148.

It is an arithmetic number, because the mean of its divisors is an integer number (155662108602).

Almost surely, 2^{8009920535850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009920535850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207671819344).

8009920535850 is an abundant number, since it is smaller than the sum of its proper divisors (14405423102838).

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

8009920535850 is a wasteful number, since it uses less digits than its factorization.

8009920535850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904451 (or 2904434 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 8009920535850 in words is "eight trillion, nine billion, nine hundred twenty million, five hundred thirty-five thousand, eight hundred fifty".