9911052952416 has 1152 divisors, whose sum is σ = 38341465344000. Its totient is φ = 2398886461440.

The previous prime is 9911052952373. The next prime is 9911052952421. The reversal of 9911052952416 is 6142592501199.

It is a happy number.

9911052952416 is a `hidden beast` number, since 9 + 9 + 1 + 105 + 2 + 9 + 524 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1902676020 + ... + 1902681228.

It is an arithmetic number, because the mean of its divisors is an integer number (33282522000).

Almost surely, 2^{9911052952416} is an apocalyptic number.

9911052952416 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 9911052952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170732672000).

9911052952416 is an abundant number, since it is smaller than the sum of its proper divisors (28430412391584).

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

9911052952416 is a wasteful number, since it uses less digits than its factorization.

9911052952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 9911052952416 in words is "nine trillion, nine hundred eleven billion, fifty-two million, nine hundred fifty-two thousand, four hundred sixteen".