8189910324960 has 1728 divisors, whose sum is σ = 36224376249600. Its totient is φ = 1540497014784.

The previous prime is 8189910324949. The next prime is 8189910324989. The reversal of 8189910324960 is 694230199818.

It is a super-2 number, since 2×8189910324960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8189910324894 and 8189910324903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1283883051 + ... + 1283889429.

It is an arithmetic number, because the mean of its divisors is an integer number (20963180700).

Almost surely, 2^{8189910324960} is an apocalyptic number.

8189910324960 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 8189910324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112188124800).

8189910324960 is an abundant number, since it is smaller than the sum of its proper divisors (28034465924640).

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

8189910324960 is a wasteful number, since it uses less digits than its factorization.

8189910324960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 8189910324960 in words is "eight trillion, one hundred eighty-nine billion, nine hundred ten million, three hundred twenty-four thousand, nine hundred sixty".