27097804800 has 936 divisors, whose sum is σ = 110770497040. Its totient is φ = 6569164800.

The previous prime is 27097804787. The next prime is 27097804817. The reversal of 27097804800 is 840879072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27097804800 is a `hidden beast` number, since 2 + 7 + 0 + 97 + 80 + 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 71 ways as a sum of consecutive naturals, for example, 2463436795 + ... + 2463436805.

Almost surely, 2^27097804800 is an apocalyptic number.

27097804800 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 27097804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55385248520).

27097804800 is an abundant number, since it is smaller than the sum of its proper divisors (83672692240).

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

27097804800 is an frugal number, since it uses more digits than its factorization.

27097804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27097804800 in words is "twenty-seven billion, ninety-seven million, eight hundred four thousand, eight hundred".