27391649729472 has 224 divisors, whose sum is σ = 94274785328640. Its totient is φ = 7635302922240.

The previous prime is 27391649729471. The next prime is 27391649729519. The reversal of 27391649729472 is 27492794619372.

27391649729472 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 1 + 64 + 97 + 2 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 a self number, because there is not a number n which added to its sum of digits gives 27391649729472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27391649729471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27120178 + ... + 28112049.

It is an arithmetic number, because the mean of its divisors is an integer number (420869577360).

Almost surely, 2^{27391649729472} is an apocalyptic number.

It is an amenable number.

27391649729472 is an abundant number, since it is smaller than the sum of its proper divisors (66883135599168).

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

27391649729472 is a wasteful number, since it uses less digits than its factorization.

27391649729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55232296 (or 55232280 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 27391649729472 in words is "twenty-seven trillion, three hundred ninety-one billion, six hundred forty-nine million, seven hundred twenty-nine thousand, four hundred seventy-two".