1108538542800 has 720 divisors, whose sum is σ = 4224559121328. Its totient is φ = 267544166400.

The previous prime is 1108538542777. The next prime is 1108538542807. The reversal of 1108538542800 is 82458358011.

1108538542800 is a `hidden beast` number, since 1 + 108 + 538 + 5 + 4 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1080161118864 + 28377423936 = 1039308^2 + 168456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108538542807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 512973720 + ... + 512975880.

Almost surely, 2^{1108538542800} is an apocalyptic number.

1108538542800 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 1108538542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112279560664).

1108538542800 is an abundant number, since it is smaller than the sum of its proper divisors (3116020578528).

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

1108538542800 is a wasteful number, since it uses less digits than its factorization.

1108538542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1108538542800 in words is "one trillion, one hundred eight billion, five hundred thirty-eight million, five hundred forty-two thousand, eight hundred".