27902847168 has 224 divisors, whose sum is σ = 96035896320. Its totient is φ = 7777658880.

The previous prime is 27902847151. The next prime is 27902847179. The reversal of 27902847168 is 86174820972.

It is a happy number.

27902847168 is a `hidden beast` number, since 2 + 7 + 90 + 28 + 471 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467805 + ... + 524067.

It is an arithmetic number, because the mean of its divisors is an integer number (428731680).

Almost surely, 2^27902847168 is an apocalyptic number.

27902847168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27902847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48017948160).

27902847168 is an abundant number, since it is smaller than the sum of its proper divisors (68133049152).

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

27902847168 is a wasteful number, since it uses less digits than its factorization.

27902847168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56332 (or 56316 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 27902847168 in words is "twenty-seven billion, nine hundred two million, eight hundred forty-seven thousand, one hundred sixty-eight".