27314380800 has 1008 divisors, whose sum is σ = 117257718240. Its totient is φ = 5945425920.

The previous prime is 27314380787. The next prime is 27314380823. The reversal of 27314380800 is 808341372.

27314380800 is a `hidden beast` number, since 273 + 1 + 4 + 380 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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, 374169564 + ... + 374169636.

Almost surely, 2^27314380800 is an apocalyptic number.

27314380800 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 27314380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58628859120).

27314380800 is an abundant number, since it is smaller than the sum of its proper divisors (89943337440).

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

27314380800 is a wasteful number, since it uses less digits than its factorization.

27314380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27314380800 in words is "twenty-seven billion, three hundred fourteen million, three hundred eighty thousand, eight hundred".