10948800844800 has 3168 divisors, whose sum is σ = 51157226144640. Its totient is φ = 2302551982080.

The previous prime is 10948800844777. The next prime is 10948800844801. The reversal of 10948800844800 is 844800884901.

It is a happy number.

10948800844800 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 8 + 80 + 0 + 84 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948800844801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 35663846247 + ... + 35663846553.

Almost surely, 2^{10948800844800} is an apocalyptic number.

10948800844800 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 10948800844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578613072320).

10948800844800 is an abundant number, since it is smaller than the sum of its proper divisors (40208425299840).

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

10948800844800 is an equidigital number, since it uses as much as digits as its factorization.

10948800844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 10948800844800 in words is "ten trillion, nine hundred forty-eight billion, eight hundred million, eight hundred forty-four thousand, eight hundred".