27916639033248 has 240 divisors, whose sum is σ = 96857731643904. Its totient is φ = 7718886213120.

The previous prime is 27916639033243. The next prime is 27916639033249. The reversal of 27916639033248 is 84233093661972.

27916639033248 is a `hidden beast` number, since 2 + 79 + 166 + 39 + 0 + 332 + 48 = 666.

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 (27916639033243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24253915 + ... + 25378842.

Almost surely, 2^{27916639033248} is an apocalyptic number.

27916639033248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27916639033248 is an abundant number, since it is smaller than the sum of its proper divisors (68941092610656).

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

27916639033248 is a wasteful number, since it uses less digits than its factorization.

27916639033248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49632817 (or 49632800 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 27916639033248 in words is "twenty-seven trillion, nine hundred sixteen billion, six hundred thirty-nine million, thirty-three thousand, two hundred forty-eight".