10006996296960 has 3024 divisors, whose sum is σ = 42388410516480. Its totient is φ = 2254537359360.

The previous prime is 10006996296943. The next prime is 10006996296961. The reversal of 10006996296960 is 6969269960001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006996296961) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 112438160596 + ... + 112438160684.

It is an arithmetic number, because the mean of its divisors is an integer number (14017331520).

Almost surely, 2^{10006996296960} is an apocalyptic number.

10006996296960 is a gapful number since it is divisible by the number (10) 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 10006996296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194205258240).

10006996296960 is an abundant number, since it is smaller than the sum of its proper divisors (32381414219520).

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

10006996296960 is an equidigital number, since it uses as much as digits as its factorization.

10006996296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 10006996296960 in words is "ten trillion, six billion, nine hundred ninety-six million, two hundred ninety-six thousand, nine hundred sixty".