10845164805120 has 1232 divisors, whose sum is σ = 40339691736192. Its totient is φ = 2794881024000.

The previous prime is 10845164805107. The next prime is 10845164805127. The reversal of 10845164805120 is 2150846154801.

10845164805120 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 51 + 6 + 4 + 80 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10845164805127) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 14440964745 + ... + 14440965495.

Almost surely, 2^{10845164805120} is an apocalyptic number.

10845164805120 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 10845164805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169845868096).

10845164805120 is an abundant number, since it is smaller than the sum of its proper divisors (29494526931072).

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

10845164805120 is an frugal number, since it uses more digits than its factorization.

10845164805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 10845164805120 in words is "ten trillion, eight hundred forty-five billion, one hundred sixty-four million, eight hundred five thousand, one hundred twenty".