7893825160320 has 384 divisors, whose sum is σ = 29751838159680. Its totient is φ = 1912660992000.

The previous prime is 7893825160297. The next prime is 7893825160349. The reversal of 7893825160320 is 230615283987.

7893825160320 is a `hidden beast` number, since 7 + 8 + 9 + 3 + 8 + 2 + 5 + 1 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125864970 + ... + 125927670.

Almost surely, 2^{7893825160320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7893825160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875919079840).

7893825160320 is an abundant number, since it is smaller than the sum of its proper divisors (21858012999360).

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

7893825160320 is a wasteful number, since it uses less digits than its factorization.

7893825160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64724 (or 64709 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7893825160320 in words is "seven trillion, eight hundred ninety-three billion, eight hundred twenty-five million, one hundred sixty thousand, three hundred twenty".