10721196398016 has 336 divisors, whose sum is σ = 35217137592000. Its totient is φ = 3089171644416.

The previous prime is 10721196398009. The next prime is 10721196398041. The reversal of 10721196398016 is 61089369112701.

It is a super-2 number, since 2×10721196398016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25120290 + ... + 25543518.

It is an arithmetic number, because the mean of its divisors is an integer number (104812909500).

Almost surely, 2^{10721196398016} is an apocalyptic number.

10721196398016 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 10721196398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608568796000).

10721196398016 is an abundant number, since it is smaller than the sum of its proper divisors (24495941193984).

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

10721196398016 is a wasteful number, since it uses less digits than its factorization.

10721196398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423476 (or 423463 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10721196398016 in words is "ten trillion, seven hundred twenty-one billion, one hundred ninety-six million, three hundred ninety-eight thousand, sixteen".