10004291721216 has 480 divisors, whose sum is σ = 32239076950080. Its totient is φ = 3072659816448.

The previous prime is 10004291721209. The next prime is 10004291721251. The reversal of 10004291721216 is 61212719240001.

10004291721216 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 429 + 1 + 7 + 212 + 16 = 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1278826681 + ... + 1278834503.

It is an arithmetic number, because the mean of its divisors is an integer number (67164743646).

Almost surely, 2^{10004291721216} is an apocalyptic number.

10004291721216 is a gapful number since it is divisible by the number (16) 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 10004291721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119538475040).

10004291721216 is an abundant number, since it is smaller than the sum of its proper divisors (22234785228864).

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

10004291721216 is an equidigital number, since it uses as much as digits as its factorization.

10004291721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10004291721216 in words is "ten trillion, four billion, two hundred ninety-one million, seven hundred twenty-one thousand, two hundred sixteen".