10573898121216 has 408 divisors, whose sum is σ = 31826282735520. Its totient is φ = 3379927449600.

The previous prime is 10573898121187. The next prime is 10573898121289. The reversal of 10573898121216 is 61212189837501.

10573898121216 is a `hidden beast` number, since 10 + 57 + 389 + 81 + 2 + 121 + 6 = 666.

It is a super-2 number, since 2×10573898121216² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1426780551 + ... + 1426787961.

It is an arithmetic number, because the mean of its divisors is an integer number (78005594940).

Almost surely, 2^{10573898121216} is an apocalyptic number.

10573898121216 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 10573898121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913141367760).

10573898121216 is an abundant number, since it is smaller than the sum of its proper divisors (21252384614304).

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

10573898121216 is an frugal number, since it uses more digits than its factorization.

10573898121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10573898121216 in words is "ten trillion, five hundred seventy-three billion, eight hundred ninety-eight million, one hundred twenty-one thousand, two hundred sixteen".