9995017165056 has 1728 divisors, whose sum is σ = 38336910796800. Its totient is φ = 2539579392000.

The previous prime is 9995017165051. The next prime is 9995017165093. The reversal of 9995017165056 is 6505617105999.

9995017165056 is a `hidden beast` number, since 9 + 9 + 9 + 50 + 1 + 71 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9995017164984 and 9995017165002.

It is not an unprimeable number, because it can be changed into a prime (9995017165051) by changing a digit.

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, 61319123631 + ... + 61319123793.

Almost surely, 2^{9995017165056} is an apocalyptic number.

9995017165056 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 9995017165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168455398400).

9995017165056 is an abundant number, since it is smaller than the sum of its proper divisors (28341893631744).

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

9995017165056 is a wasteful number, since it uses less digits than its factorization.

9995017165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 22963500, while the sum is 63.

The spelling of 9995017165056 in words is "nine trillion, nine hundred ninety-five billion, seventeen million, one hundred sixty-five thousand, fifty-six".