27078105600 has 1800 divisors, whose sum is σ = 128610041868. Its totient is φ = 5573836800.

The previous prime is 27078105581. The next prime is 27078105601. The reversal of 27078105600 is 650187072.

27078105600 is a `hidden beast` number, since 27 + 0 + 78 + 1 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 740710656 + 26337394944 = 27216^2 + 162288^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27078105601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 660441580 + ... + 660441620.

Almost surely, 2^27078105600 is an apocalyptic number.

27078105600 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 27078105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64305020934).

27078105600 is an abundant number, since it is smaller than the sum of its proper divisors (101531936268).

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

27078105600 is a wasteful number, since it uses less digits than its factorization.

27078105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 27078105600 in words is "twenty-seven billion, seventy-eight million, one hundred five thousand, six hundred".