10021681296384 has 176 divisors, whose sum is σ = 28306030632000. Its totient is φ = 3143498858496.

The previous prime is 10021681296383. The next prime is 10021681296397. The reversal of 10021681296384 is 48369218612001.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021681296383) 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 15 ways as a sum of consecutive naturals, for example, 8120664 + ... + 9273000.

It is an arithmetic number, because the mean of its divisors is an integer number (160829719500).

Almost surely, 2^{10021681296384} 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 10021681296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153015316000).

10021681296384 is an abundant number, since it is smaller than the sum of its proper divisors (18284349335616).

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

10021681296384 is a wasteful number, since it uses less digits than its factorization.

10021681296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152528 (or 1152510 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10021681296384 in words is "ten trillion, twenty-one billion, six hundred eighty-one million, two hundred ninety-six thousand, three hundred eighty-four".