11039780044800 has 1836 divisors, whose sum is σ = 44784276365920. Its totient is φ = 2683085783040.

The previous prime is 11039780044751. The next prime is 11039780044817. The reversal of 11039780044800 is 844008793011.

It is a happy number.

11039780044800 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 97 + 80 + 0 + 4 + 480 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 139744051161 + ... + 139744051239.

Almost surely, 2^{11039780044800} is an apocalyptic number.

11039780044800 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 11039780044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22392138182960).

11039780044800 is an abundant number, since it is smaller than the sum of its proper divisors (33744496321120).

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

11039780044800 is an frugal number, since it uses more digits than its factorization.

11039780044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11039780044800 in words is "eleven trillion, thirty-nine billion, seven hundred eighty million, forty-four thousand, eight hundred".