9991759071168 has 672 divisors, whose sum is σ = 35207371068480. Its totient is φ = 2768594411520.

The previous prime is 9991759071139. The next prime is 9991759071181. The reversal of 9991759071168 is 8611709571999.

9991759071168 is a `hidden beast` number, since 9 + 9 + 9 + 17 + 590 + 7 + 1 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 9991759071096 and 9991759071105.

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, 993112858 + ... + 993122918.

Almost surely, 2^{9991759071168} is an apocalyptic number.

9991759071168 is a gapful number since it is divisible by the number (98) 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 9991759071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603685534240).

9991759071168 is an abundant number, since it is smaller than the sum of its proper divisors (25215611997312).

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

9991759071168 is a wasteful number, since it uses less digits than its factorization.

9991759071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 72.

The spelling of 9991759071168 in words is "nine trillion, nine hundred ninety-one billion, seven hundred fifty-nine million, seventy-one thousand, one hundred sixty-eight".