27538909632 has 336 divisors, whose sum is σ = 88319518560. Its totient is φ = 8410521600.

The previous prime is 27538909589. The next prime is 27538909649. The reversal of 27538909632 is 23690983572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52857532 + ... + 52858052.

It is an arithmetic number, because the mean of its divisors is an integer number (262855710).

Almost surely, 2^27538909632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27538909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44159759280).

27538909632 is an abundant number, since it is smaller than the sum of its proper divisors (60780608928).

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

27538909632 is a wasteful number, since it uses less digits than its factorization.

27538909632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 27538909632 in words is "twenty-seven billion, five hundred thirty-eight million, nine hundred nine thousand, six hundred thirty-two".