27979533203148 has 96 divisors (see below), whose sum is σ = 76358756678400. Its totient is φ = 8835485142528.

The previous prime is 27979533203143. The next prime is 27979533203161. The reversal of 27979533203148 is 84130233597972.

27979533203148 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 9 + 533 + 20 + 31 + 48 = 666.

It is a super-3 number, since 3×27979533203148³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (27979533203143) 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, 182668411 + ... + 182821517.

It is an arithmetic number, because the mean of its divisors is an integer number (795403715400).

Almost surely, 2^{27979533203148} is an apocalyptic number.

It is an amenable number.

27979533203148 is an abundant number, since it is smaller than the sum of its proper divisors (48379223475252).

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

27979533203148 is a wasteful number, since it uses less digits than its factorization.

27979533203148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242196 (or 242188 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 27979533203148 in words is "twenty-seven trillion, nine hundred seventy-nine billion, five hundred thirty-three million, two hundred three thousand, one hundred forty-eight".