27153676824561 has 189 divisors, whose sum is σ = 48103628259771. Its totient is φ = 15276080016288.

The previous prime is 27153676824539. The next prime is 27153676824569. The reversal of 27153676824561 is 16542867635172.

The square root of 27153676824561 is 5210919.

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

27153676824561 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 3 + 6 + 7 + 68 + 2 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19930590568161 + 7223086256400 = 4464369^2 + 2687580^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 27153676824561 - 2¹³ = 27153676816369 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (27153676824569) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 77804231415 + ... + 77804231763.

It is an arithmetic number, because the mean of its divisors is an integer number (254516551639).

Almost surely, 2^{27153676824561} is an apocalyptic number.

27153676824561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27153676824561 is the 5210919-th square number.

27153676824561 is the 2605460-th centered octagonal number.

It is an amenable number.

27153676824561 is a deficient number, since it is larger than the sum of its proper divisors (20949951435210).

27153676824561 is an frugal number, since it uses more digits than its factorization.

27153676824561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 438 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 27153676824561 in words is "twenty-seven trillion, one hundred fifty-three billion, six hundred seventy-six million, eight hundred twenty-four thousand, five hundred sixty-one".