27893734638336 has 216 divisors, whose sum is σ = 95909980158720. Its totient is φ = 7623132346368.

The previous prime is 27893734638239. The next prime is 27893734638349. The reversal of 27893734638336 is 63383643739872.

27893734638336 is a `hidden beast` number, since 2 + 7 + 8 + 93 + 73 + 463 + 8 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 37227366 + ... + 37969253.

It is an arithmetic number, because the mean of its divisors is an integer number (444027685920).

Almost surely, 2^{27893734638336} is an apocalyptic number.

It is an amenable number.

27893734638336 is an abundant number, since it is smaller than the sum of its proper divisors (68016245520384).

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

27893734638336 is a wasteful number, since it uses less digits than its factorization.

27893734638336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75196671 (or 75196654 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 72.

The spelling of 27893734638336 in words is "twenty-seven trillion, eight hundred ninety-three billion, seven hundred thirty-four million, six hundred thirty-eight thousand, three hundred thirty-six".