9959122992 has 640 divisors, whose sum is σ = 35553280000. Its totient is φ = 2377589760.

The previous prime is 9959122969. The next prime is 9959123029. The reversal of 9959122992 is 2992219599.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126064809 + ... + 126064887.

It is an arithmetic number, because the mean of its divisors is an integer number (55552000).

Almost surely, 2^9959122992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9959122992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776640000).

9959122992 is an abundant number, since it is smaller than the sum of its proper divisors (25594157008).

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

9959122992 is a wasteful number, since it uses less digits than its factorization.

9959122992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 57.

The square root of 9959122992 is about 99795.4056657921. The cubic root of 9959122992 is about 2151.4951195559.

The spelling of 9959122992 in words is "nine billion, nine hundred fifty-nine million, one hundred twenty-two thousand, nine hundred ninety-two".