10325914560 has 448 divisors, whose sum is σ = 39556944000. Its totient is φ = 2520612864.

The previous prime is 10325914531. The next prime is 10325914579. The reversal of 10325914560 is 6541952301.

10325914560 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 91 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 16735372 + ... + 16735988.

It is an arithmetic number, because the mean of its divisors is an integer number (88296750).

Almost surely, 2^10325914560 is an apocalyptic number.

10325914560 is a gapful number since it is divisible by the number (10) 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 10325914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778472000).

10325914560 is an abundant number, since it is smaller than the sum of its proper divisors (29231029440).

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

10325914560 is a wasteful number, since it uses less digits than its factorization.

10325914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10325914560 in words is "ten billion, three hundred twenty-five million, nine hundred fourteen thousand, five hundred sixty".