27772276721401 has 32 divisors (see below), whose sum is σ = 30858064957440. Its totient is φ = 24885526579200.

The previous prime is 27772276721381. The next prime is 27772276721477. The reversal of 27772276721401 is 10412767227772.

It is a cyclic number.

It is not a de Polignac number, because 27772276721401 - 2²¹ = 27772274624249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27772276721491) 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, 2827990 + ... + 7971328.

It is an arithmetic number, because the mean of its divisors is an integer number (964314529920).

Almost surely, 2^{27772276721401} is an apocalyptic number.

It is an amenable number.

27772276721401 is a deficient number, since it is larger than the sum of its proper divisors (3085788236039).

27772276721401 is a wasteful number, since it uses less digits than its factorization.

27772276721401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143585.

The product of its (nonzero) digits is 6453888, while the sum is 55.

The spelling of 27772276721401 in words is "twenty-seven trillion, seven hundred seventy-two billion, two hundred seventy-six million, seven hundred twenty-one thousand, four hundred one".