9617613895890 has 768 divisors, whose sum is σ = 35711698659840. Its totient is φ = 1809911900160.

The previous prime is 9617613895889. The next prime is 9617613895933. The reversal of 9617613895890 is 985983167169.

9617613895890 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 6 + 1 + 38 + 9 + 589 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100222212 + ... + 100318128.

It is an arithmetic number, because the mean of its divisors is an integer number (46499607630).

Almost surely, 2^{9617613895890} is an apocalyptic number.

9617613895890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9617613895890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855849329920).

9617613895890 is an abundant number, since it is smaller than the sum of its proper divisors (26094084763950).

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

9617613895890 is a wasteful number, since it uses less digits than its factorization.

9617613895890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96024 (or 96011 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 9617613895890 in words is "nine trillion, six hundred seventeen billion, six hundred thirteen million, eight hundred ninety-five thousand, eight hundred ninety".