9605925000 has 768 divisors, whose sum is σ = 40497408000. Its totient is φ = 2060640000.

The previous prime is 9605924989. The next prime is 9605925037. The reversal of 9605925000 is 5295069.

9605925000 is a `hidden beast` number, since 9 + 60 + 5 + 92 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89774947 + ... + 89775053.

It is an arithmetic number, because the mean of its divisors is an integer number (52731000).

Almost surely, 2^9605925000 is an apocalyptic number.

9605925000 is a gapful number since it is divisible by the number (90) 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 9605925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704000).

9605925000 is an abundant number, since it is smaller than the sum of its proper divisors (30891483000).

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

9605925000 is a wasteful number, since it uses less digits than its factorization.

9605925000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9605925000 is about 98009.8209364755. The cubic root of 9605925000 is about 2125.7542881669.

The spelling of 9605925000 in words is "nine billion, six hundred five million, nine hundred twenty-five thousand".