27093584700000 has 4320 divisors, whose sum is σ = 128308317429600. Its totient is φ = 5556418560000.

The previous prime is 27093584699983. The next prime is 27093584700019. The reversal of 27093584700000 is 748539072.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 304422299956 + ... + 304422300044.

It is an arithmetic number, because the mean of its divisors is an integer number (29700999405).

Almost surely, 2^{27093584700000} is an apocalyptic number.

27093584700000 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 27093584700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64154158714800).

27093584700000 is an abundant number, since it is smaller than the sum of its proper divisors (101214732729600).

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

27093584700000 is an equidigital number, since it uses as much as digits as its factorization.

27093584700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27093584700000 in words is "twenty-seven trillion, ninety-three billion, five hundred eighty-four million, seven hundred thousand".