27336863136 has 96 divisors (see below), whose sum is σ = 78360500736. Its totient is φ = 8275680000.

The previous prime is 27336863131. The next prime is 27336863153. The reversal of 27336863136 is 63136863372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27336863136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27336863131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097541 + ... + 1122171.

It is an arithmetic number, because the mean of its divisors is an integer number (816255216).

Almost surely, 2^27336863136 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 27336863136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39180250368).

27336863136 is an abundant number, since it is smaller than the sum of its proper divisors (51023637600).

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

27336863136 is a wasteful number, since it uses less digits than its factorization.

27336863136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25706 (or 25698 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The spelling of 27336863136 in words is "twenty-seven billion, three hundred thirty-six million, eight hundred sixty-three thousand, one hundred thirty-six".