10850311243872 has 144 divisors (see below), whose sum is σ = 31044475137312. Its totient is φ = 3594633799680.

The previous prime is 10850311243867. The next prime is 10850311243909. The reversal of 10850311243872 is 27834211305801.

10850311243872 is a `hidden beast` number, since 10 + 8 + 5 + 0 + 311 + 243 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 686851078 + ... + 686866874.

It is an arithmetic number, because the mean of its divisors is an integer number (215586632898).

Almost surely, 2^{10850311243872} is an apocalyptic number.

10850311243872 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 10850311243872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522237568656).

10850311243872 is an abundant number, since it is smaller than the sum of its proper divisors (20194163893440).

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

10850311243872 is a wasteful number, since it uses less digits than its factorization.

10850311243872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30261 (or 30250 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10850311243872 in words is "ten trillion, eight hundred fifty billion, three hundred eleven million, two hundred forty-three thousand, eight hundred seventy-two".