16121844618880 has 1920 divisors, whose sum is σ = 55293027224400. Its totient is φ = 4451266068480.

The previous prime is 16121844618863. The next prime is 16121844618883. The reversal of 16121844618880 is 8881644812161.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7983970150464 + 8137874468416 = 2825592^2 + 2852696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121844618883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 220847186524 + ... + 220847186596.

Almost surely, 2^{16121844618880} is an apocalyptic number.

16121844618880 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 16121844618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27646513612200).

16121844618880 is an abundant number, since it is smaller than the sum of its proper divisors (39171182605520).

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

16121844618880 is an equidigital number, since it uses as much as digits as its factorization.

16121844618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 58.

The spelling of 16121844618880 in words is "sixteen trillion, one hundred twenty-one billion, eight hundred forty-four million, six hundred eighteen thousand, eight hundred eighty".