10017129043152 has 480 divisors, whose sum is σ = 36405963869184. Its totient is φ = 2590372224000.

The previous prime is 10017129043139. The next prime is 10017129043199. The reversal of 10017129043152 is 25134092171001.

It is a happy number.

10017129043152 is a `hidden beast` number, since 1 + 0 + 0 + 171 + 2 + 9 + 0 + 431 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67884652 + ... + 68032052.

Almost surely, 2^{10017129043152} is an apocalyptic number.

10017129043152 is a gapful number since it is divisible by the number (12) 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 10017129043152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202981934592).

10017129043152 is an abundant number, since it is smaller than the sum of its proper divisors (26388834826032).

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

10017129043152 is a wasteful number, since it uses less digits than its factorization.

10017129043152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147669 (or 147651 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10017129043152 in words is "ten trillion, seventeen billion, one hundred twenty-nine million, forty-three thousand, one hundred fifty-two".