9809506528950 has 192 divisors, whose sum is σ = 24795294999552. Its totient is φ = 2566054339200.

The previous prime is 9809506528931. The next prime is 9809506528979. The reversal of 9809506528950 is 598256059089.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3301750965 + ... + 3301753935.

It is an arithmetic number, because the mean of its divisors is an integer number (129142161456).

Almost surely, 2^{9809506528950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9809506528950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397647499776).

9809506528950 is an abundant number, since it is smaller than the sum of its proper divisors (14985788470602).

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

9809506528950 is a wasteful number, since it uses less digits than its factorization.

9809506528950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 66.

The spelling of 9809506528950 in words is "nine trillion, eight hundred nine billion, five hundred six million, five hundred twenty-eight thousand, nine hundred fifty".