10850666610432 has 288 divisors, whose sum is σ = 33364923508224. Its totient is φ = 3093938176000.

The previous prime is 10850666610401. The next prime is 10850666610437. The reversal of 10850666610432 is 23401666605801.

10850666610432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10850666610437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023545932 + ... + 1023556532.

It is an arithmetic number, because the mean of its divisors is an integer number (115850428848).

Almost surely, 2^{10850666610432} is an apocalyptic number.

10850666610432 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 10850666610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682461754112).

10850666610432 is an abundant number, since it is smaller than the sum of its proper divisors (22514256897792).

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

10850666610432 is a wasteful number, since it uses less digits than its factorization.

10850666610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17775 (or 17761 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10850666610432 in words is "ten trillion, eight hundred fifty billion, six hundred sixty-six million, six hundred ten thousand, four hundred thirty-two".