27071641400 has 96 divisors (see below), whose sum is σ = 64130605200. Its totient is φ = 10624972800.

The previous prime is 27071641369. The next prime is 27071641463. The reversal of 27071641400 is 414617072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5402096 + ... + 5407104.

Almost surely, 2^27071641400 is an apocalyptic number.

27071641400 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 27071641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32065302600).

27071641400 is an abundant number, since it is smaller than the sum of its proper divisors (37058963800).

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

27071641400 is a wasteful number, since it uses less digits than its factorization.

27071641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 27071641400 in words is "twenty-seven billion, seventy-one million, six hundred forty-one thousand, four hundred".