9785096906625 has 24 divisors (see below), whose sum is σ = 17639268025704. Its totient is φ = 5218718349600.

The previous prime is 9785096906621. The next prime is 9785096906657. The reversal of 9785096906625 is 5266096905879.

9785096906625 is a `hidden beast` number, since 9 + 7 + 8 + 509 + 6 + 90 + 6 + 6 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2926234469376 + 6858862437249 = 1710624^2 + 2618943^2 .

It is not a de Polignac number, because 9785096906625 - 2² = 9785096906621 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9785096906621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4348930834 + ... + 4348933083.

It is an arithmetic number, because the mean of its divisors is an integer number (734969501071).

Almost surely, 2^{9785096906625} is an apocalyptic number.

It is an amenable number.

9785096906625 is a deficient number, since it is larger than the sum of its proper divisors (7854171119079).

9785096906625 is a wasteful number, since it uses less digits than its factorization.

9785096906625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697863938 (or 8697863925 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 9785096906625 in words is "nine trillion, seven hundred eighty-five billion, ninety-six million, nine hundred six thousand, six hundred twenty-five".