10848813212160 has 1920 divisors, whose sum is σ = 47652721459200. Its totient is φ = 2215785922560.

The previous prime is 10848813212147. The next prime is 10848813212179. The reversal of 10848813212160 is 6121231884801.

10848813212160 is a `hidden beast` number, since 1 + 0 + 8 + 488 + 1 + 3 + 2 + 1 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10848813212160² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40330160506 + ... + 40330160774.

It is an arithmetic number, because the mean of its divisors is an integer number (24819125760).

Almost surely, 2^{10848813212160} is an apocalyptic number.

10848813212160 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 10848813212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23826360729600).

10848813212160 is an abundant number, since it is smaller than the sum of its proper divisors (36803908247040).

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

10848813212160 is a wasteful number, since it uses less digits than its factorization.

10848813212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10848813212160 in words is "ten trillion, eight hundred forty-eight billion, eight hundred thirteen million, two hundred twelve thousand, one hundred sixty".