10844541480960 has 2808 divisors, whose sum is σ = 46313920467360. Its totient is φ = 2427963310080.

The previous prime is 10844541480901. The next prime is 10844541480961. The reversal of 10844541480960 is 6908414544801.

10844541480960 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 541 + 4 + 8 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×10844541480960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10844541480897 and 10844541480906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10844541480961) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 373949706226 + ... + 373949706254.

It is an arithmetic number, because the mean of its divisors is an integer number (16493561420).

Almost surely, 2^{10844541480960} is an apocalyptic number.

10844541480960 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 10844541480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156960233680).

10844541480960 is an abundant number, since it is smaller than the sum of its proper divisors (35469378986400).

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

10844541480960 is an frugal number, since it uses more digits than its factorization.

10844541480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10844541480960 in words is "ten trillion, eight hundred forty-four billion, five hundred forty-one million, four hundred eighty thousand, nine hundred sixty".