27849916512 has 72 divisors (see below), whose sum is σ = 86398046280. Its totient is φ = 8439367680.

The previous prime is 27849916453. The next prime is 27849916541. The reversal of 27849916512 is 21561994872.

It is a happy number.

27849916512 is a `hidden beast` number, since 2 + 78 + 49 + 9 + 16 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×27849916512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4392337 + ... + 4398672.

It is an arithmetic number, because the mean of its divisors is an integer number (1199972865).

Almost surely, 2^27849916512 is an apocalyptic number.

27849916512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27849916512 is an abundant number, since it is smaller than the sum of its proper divisors (58548129768).

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

27849916512 is a wasteful number, since it uses less digits than its factorization.

27849916512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791036 (or 8791025 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 27849916512 in words is "twenty-seven billion, eight hundred forty-nine million, nine hundred sixteen thousand, five hundred twelve".