8003869009920 has 1536 divisors, whose sum is σ = 34386992640000. Its totient is φ = 1725086564352.

The previous prime is 8003869009909. The next prime is 8003869009949. The reversal of 8003869009920 is 299009683008.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×8003869009920² (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 127 ways as a sum of consecutive naturals, for example, 11288954526 + ... + 11288955234.

It is an arithmetic number, because the mean of its divisors is an integer number (22387365000).

Almost surely, 2^{8003869009920} is an apocalyptic number.

8003869009920 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 8003869009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193496320000).

8003869009920 is an abundant number, since it is smaller than the sum of its proper divisors (26383123630080).

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

8003869009920 is a wasteful number, since it uses less digits than its factorization.

8003869009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 8003869009920 in words is "eight trillion, three billion, eight hundred sixty-nine million, nine thousand, nine hundred twenty".