27721295838432 has 72 divisors (see below), whose sum is σ = 90094211481456. Its totient is φ = 7920370238976.

The previous prime is 27721295838287. The next prime is 27721295838433. The reversal of 27721295838432 is 23483859212772.

It is a happy number.

27721295838432 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 1 + 2 + 9 + 583 + 8 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27721295838432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27721295838433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6875319373 + ... + 6875323404.

It is an arithmetic number, because the mean of its divisors is an integer number (1251308492798).

Almost surely, 2^{27721295838432} is an apocalyptic number.

It is an amenable number.

27721295838432 is an abundant number, since it is smaller than the sum of its proper divisors (62372915643024).

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

27721295838432 is a wasteful number, since it uses less digits than its factorization.

27721295838432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750642800 (or 13750642789 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 27721295838432 in words is "twenty-seven trillion, seven hundred twenty-one billion, two hundred ninety-five million, eight hundred thirty-eight thousand, four hundred thirty-two".