27227145600 has 960 divisors, whose sum is σ = 109913902560. Its totient is φ = 6608977920.

The previous prime is 27227145587. The next prime is 27227145607. The reversal of 27227145600 is 654172272.

It is a happy number.

27227145600 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 7 + 1 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27227145607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163036717 + ... + 163036883.

Almost surely, 2^27227145600 is an apocalyptic number.

27227145600 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 27227145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54956951280).

27227145600 is an abundant number, since it is smaller than the sum of its proper divisors (82686756960).

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

27227145600 is a wasteful number, since it uses less digits than its factorization.

27227145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27227145600 in words is "twenty-seven billion, two hundred twenty-seven million, one hundred forty-five thousand, six hundred".