10017412604992 has 224 divisors, whose sum is σ = 23277149280000. Its totient is φ = 4237025697792.

The previous prime is 10017412604933. The next prime is 10017412604999. The reversal of 10017412604992 is 29940621471001.

It is not an unprimeable number, because it can be changed into a prime (10017412604999) 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 31 ways as a sum of consecutive naturals, for example, 101137509 + ... + 101236507.

It is an arithmetic number, because the mean of its divisors is an integer number (103915845000).

Almost surely, 2^{10017412604992} 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 10017412604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638574640000).

10017412604992 is an abundant number, since it is smaller than the sum of its proper divisors (13259736675008).

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

10017412604992 is a wasteful number, since it uses less digits than its factorization.

10017412604992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99253 (or 99243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 10017412604992 in words is "ten trillion, seventeen billion, four hundred twelve million, six hundred four thousand, nine hundred ninety-two".