27381030000 has 400 divisors, whose sum is σ = 91810436256. Its totient is φ = 7024640000.

The previous prime is 27381029987. The next prime is 27381030011. The reversal of 27381030000 is 3018372.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138989902 + ... + 138990098.

Almost surely, 2^27381030000 is an apocalyptic number.

27381030000 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 27381030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905218128).

27381030000 is an abundant number, since it is smaller than the sum of its proper divisors (64429406256).

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

27381030000 is a wasteful number, since it uses less digits than its factorization.

27381030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 27381030000 its reverse (3018372), we get a palindrome (27384048372).

It can be divided in two parts, 273810 and 30000, that added together give a triangular number (303810 = T₇₇₉).

The spelling of 27381030000 in words is "twenty-seven billion, three hundred eighty-one million, thirty thousand".