27680892151 has 32 divisors (see below), whose sum is σ = 31450003200. Its totient is φ = 24144480000.

The previous prime is 27680892143. The next prime is 27680892179. The reversal of 27680892151 is 15129808672.

It is a happy number.

It is a 8-Lehmer number, since φ(27680892151) divides (27680892151-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 27680892151 - 2³ = 27680892143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27680892095 and 27680892104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680892101) 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, 6831076 + ... + 6835126.

It is an arithmetic number, because the mean of its divisors is an integer number (982812600).

Almost surely, 2^27680892151 is an apocalyptic number.

27680892151 is the 74406-th centered decagonal number.

27680892151 is a deficient number, since it is larger than the sum of its proper divisors (3769111049).

27680892151 is a wasteful number, since it uses less digits than its factorization.

27680892151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351.

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 27680892151 in words is "twenty-seven billion, six hundred eighty million, eight hundred ninety-two thousand, one hundred fifty-one".