10029171953664 has 624 divisors, whose sum is σ = 32976950273280. Its totient is φ = 2917222318080.

The previous prime is 10029171953663. The next prime is 10029171953699. The reversal of 10029171953664 is 46635917192001.

10029171953664 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 91 + 7 + 19 + 536 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10029171953664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029171953663) 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 47 ways as a sum of consecutive naturals, for example, 559623424 + ... + 559641344.

It is an arithmetic number, because the mean of its divisors is an integer number (52847676720).

Almost surely, 2^{10029171953664} 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 10029171953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488475136640).

10029171953664 is an abundant number, since it is smaller than the sum of its proper divisors (22947778319616).

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

10029171953664 is a wasteful number, since it uses less digits than its factorization.

10029171953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034 (or 18009 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10029171953664 in words is "ten trillion, twenty-nine billion, one hundred seventy-one million, nine hundred fifty-three thousand, six hundred sixty-four".