8025356689920 has 640 divisors, whose sum is σ = 29508911308800. Its totient is φ = 2065775394816.

The previous prime is 8025356689873. The next prime is 8025356690041. The reversal of 8025356689920 is 299866535208.

8025356689920 is a `hidden beast` number, since 8 + 0 + 2 + 535 + 6 + 6 + 8 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324782526 + ... + 324807234.

It is an arithmetic number, because the mean of its divisors is an integer number (46107673920).

Almost surely, 2^{8025356689920} is an apocalyptic number.

8025356689920 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 8025356689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754455654400).

8025356689920 is an abundant number, since it is smaller than the sum of its proper divisors (21483554618880).

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

8025356689920 is a wasteful number, since it uses less digits than its factorization.

8025356689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24905 (or 24883 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 8025356689920 in words is "eight trillion, twenty-five billion, three hundred fifty-six million, six hundred eighty-nine thousand, nine hundred twenty".