9958260312 has 768 divisors, whose sum is σ = 38610432000. Its totient is φ = 2312893440.

The previous prime is 9958260311. The next prime is 9958260331. The reversal of 9958260312 is 2130628599.

9958260312 is a `hidden beast` number, since 9 + 9 + 582 + 60 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958260311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126053889 + ... + 126053967.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 2^9958260312 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 9958260312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216000).

9958260312 is an abundant number, since it is smaller than the sum of its proper divisors (28652171688).

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

9958260312 is a wasteful number, since it uses less digits than its factorization.

9958260312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9958260312 is about 99791.0833291231. The cubic root of 9958260312 is about 2151.4329954309.

The spelling of 9958260312 in words is "nine billion, nine hundred fifty-eight million, two hundred sixty thousand, three hundred twelve".