9958713726816 has 144 divisors (see below), whose sum is σ = 28504178866800. Its totient is φ = 3298008130560.

The previous prime is 9958713726809. The next prime is 9958713726817. The reversal of 9958713726816 is 6186273178599.

9958713726816 is a `hidden beast` number, since 9 + 9 + 587 + 1 + 3 + 7 + 26 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958713726817) 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, 134269710 + ... + 134343858.

It is an arithmetic number, because the mean of its divisors is an integer number (197945686575).

Almost surely, 2^{9958713726816} is an apocalyptic number.

9958713726816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9958713726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252089433400).

9958713726816 is an abundant number, since it is smaller than the sum of its proper divisors (18545465139984).

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

9958713726816 is a wasteful number, since it uses less digits than its factorization.

9958713726816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77189 (or 77178 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 9958713726816 in words is "nine trillion, nine hundred fifty-eight billion, seven hundred thirteen million, seven hundred twenty-six thousand, eight hundred sixteen".