27021600000 has 648 divisors, whose sum is σ = 101714427360. Its totient is φ = 7153920000.

The previous prime is 27021599959. The next prime is 27021600037. The reversal of 27021600000 is 612072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 194399931 + ... + 194400069.

Almost surely, 2^27021600000 is an apocalyptic number.

27021600000 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 27021600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50857213680).

27021600000 is an abundant number, since it is smaller than the sum of its proper divisors (74692827360).

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

27021600000 is an frugal number, since it uses more digits than its factorization.

27021600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

It can be divided in two parts, 270 and 21600000, that multiplied together give a cube (5832000000 = 1800³).

The spelling of 27021600000 in words is "twenty-seven billion, twenty-one million, six hundred thousand".