27889288422961 has 81 divisors (see below), whose sum is σ = 34882023978891. Its totient is φ = 22230014139648.

The previous prime is 27889288422929. The next prime is 27889288422971. The reversal of 27889288422961 is 16922488298872.

It is a happy number.

The square root of 27889288422961 is 5281031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9127014999025 + 18762273423936 = 3021095^2 + 4331544^2 .

It is not a de Polignac number, because 27889288422961 - 2⁵ = 27889288422929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27889288422911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41440249921 + ... + 41440250593.

Almost surely, 2^{27889288422961} is an apocalyptic number.

27889288422961 is the 5281031-st square number.

27889288422961 is the 2640516-th centered octagonal number.

It is an amenable number.

27889288422961 is a deficient number, since it is larger than the sum of its proper divisors (6992735555930).

27889288422961 is an frugal number, since it uses more digits than its factorization.

27889288422961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 758 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 76.

The spelling of 27889288422961 in words is "twenty-seven trillion, eight hundred eighty-nine billion, two hundred eighty-eight million, four hundred twenty-two thousand, nine hundred sixty-one".