27438732009936 has 960 divisors, whose sum is σ = 91347597379584. Its totient is φ = 7610676019200.

The previous prime is 27438732009881. The next prime is 27438732009979. The reversal of 27438732009936 is 63990023783472.

27438732009936 is a `hidden beast` number, since 27 + 438 + 73 + 20 + 0 + 9 + 93 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25812541341 + ... + 25812542403.

Almost surely, 2^{27438732009936} is an apocalyptic number.

27438732009936 is a gapful number since it is divisible by the number (26) 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 27438732009936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45673798689792).

27438732009936 is an abundant number, since it is smaller than the sum of its proper divisors (63908865369648).

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

27438732009936 is a wasteful number, since it uses less digits than its factorization.

27438732009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 27438732009936 in words is "twenty-seven trillion, four hundred thirty-eight billion, seven hundred thirty-two million, nine thousand, nine hundred thirty-six".