1101806138800 has 120 divisors (see below), whose sum is σ = 2673900622800. Its totient is φ = 436266224640.

The previous prime is 1101806138749. The next prime is 1101806138809. The reversal of 1101806138800 is 88316081011.

It is a self number, because there is not a number n which added to its sum of digits gives 1101806138800.

It is not an unprimeable number, because it can be changed into a prime (1101806138809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48341007 + ... + 48363793.

It is an arithmetic number, because the mean of its divisors is an integer number (22282505190).

Almost surely, 2^{1101806138800} is an apocalyptic number.

1101806138800 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 1101806138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336950311400).

1101806138800 is an abundant number, since it is smaller than the sum of its proper divisors (1572094484000).

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

1101806138800 is a wasteful number, since it uses less digits than its factorization.

1101806138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24023 (or 24012 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 1101806138800 in words is "one trillion, one hundred one billion, eight hundred six million, one hundred thirty-eight thousand, eight hundred".