10993821241872 has 160 divisors (see below), whose sum is σ = 32727046406400. Its totient is φ = 3115140710400.

The previous prime is 10993821241831. The next prime is 10993821241901. The reversal of 10993821241872 is 27814212839901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23073504 + ... + 23545152.

It is an arithmetic number, because the mean of its divisors is an integer number (204544040040).

Almost surely, 2^{10993821241872} is an apocalyptic number.

10993821241872 is a gapful number since it is divisible by the number (12) 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 10993821241872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363523203200).

10993821241872 is an abundant number, since it is smaller than the sum of its proper divisors (21733225164528).

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

10993821241872 is a wasteful number, since it uses less digits than its factorization.

10993821241872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472241 (or 472235 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 10993821241872 in words is "ten trillion, nine hundred ninety-three billion, eight hundred twenty-one million, two hundred forty-one thousand, eight hundred seventy-two".