27938735136 has 720 divisors, whose sum is σ = 99601508160. Its totient is φ = 7614259200.

The previous prime is 27938735107. The next prime is 27938735141. The reversal of 27938735136 is 63153783972.

27938735136 is a `hidden beast` number, since 27 + 9 + 38 + 73 + 513 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 185024661 + ... + 185024811.

It is an arithmetic number, because the mean of its divisors is an integer number (138335428).

Almost surely, 2^27938735136 is an apocalyptic number.

27938735136 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 27938735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49800754080).

27938735136 is an abundant number, since it is smaller than the sum of its proper divisors (71662773024).

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

27938735136 is a wasteful number, since it uses less digits than its factorization.

27938735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 27938735136 in words is "twenty-seven billion, nine hundred thirty-eight million, seven hundred thirty-five thousand, one hundred thirty-six".