27546113800 has 96 divisors (see below), whose sum is σ = 64814992200. Its totient is φ = 10886400000.

The previous prime is 27546113773. The next prime is 27546113801. The reversal of 27546113800 is 831164572.

It can be written as a sum of positive squares in 12 ways, for example, as 5051513476 + 22494600324 = 71074^2 + 149982^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27546113800.

It is not an unprimeable number, because it can be changed into a prime (27546113801) 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, 12139066 + ... + 12141334.

Almost surely, 2^27546113800 is an apocalyptic number.

27546113800 is a gapful number since it is divisible by the number (20) 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 27546113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32407496100).

27546113800 is an abundant number, since it is smaller than the sum of its proper divisors (37268878400).

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

27546113800 is a wasteful number, since it uses less digits than its factorization.

27546113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 27546113800 in words is "twenty-seven billion, five hundred forty-six million, one hundred thirteen thousand, eight hundred".