27153494016 has 416 divisors, whose sum is σ = 84767020800. Its totient is φ = 7644119040.

The previous prime is 27153494003. The next prime is 27153494023. The reversal of 27153494016 is 61049435172.

It is a super-3 number, since 3×27153494016³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249114570 + ... + 249114678.

Almost surely, 2^27153494016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27153494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42383510400).

27153494016 is an abundant number, since it is smaller than the sum of its proper divisors (57613526784).

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

27153494016 is a wasteful number, since it uses less digits than its factorization.

27153494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 27153494016 in words is "twenty-seven billion, one hundred fifty-three million, four hundred ninety-four thousand, sixteen".