11079875452800 has 1152 divisors, whose sum is σ = 47098172131200. Its totient is φ = 2263227187200.

The previous prime is 11079875452783. The next prime is 11079875452801. The reversal of 11079875452800 is 825457897011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079875452801) 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 143 ways as a sum of consecutive naturals, for example, 305271454 + ... + 305307746.

It is an arithmetic number, because the mean of its divisors is an integer number (40883829975).

Almost surely, 2^{11079875452800} is an apocalyptic number.

11079875452800 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 11079875452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549086065600).

11079875452800 is an abundant number, since it is smaller than the sum of its proper divisors (36018296678400).

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

11079875452800 is a wasteful number, since it uses less digits than its factorization.

11079875452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36404 (or 36380 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 11079875452800 in words is "eleven trillion, seventy-nine billion, eight hundred seventy-five million, four hundred fifty-two thousand, eight hundred".