27683549540416 has 168 divisors, whose sum is σ = 71413170266592. Its totient is φ = 10522729728000.

The previous prime is 27683549540377. The next prime is 27683549540459. The reversal of 27683549540416 is 61404594538672.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 23 ways as a sum of consecutive naturals, for example, 8372430 + ... + 11201101.

It is an arithmetic number, because the mean of its divisors is an integer number (425078394444).

It is a 1-persistent number, because it is pandigital, but 2⋅27683549540416 = 55367099080832 is not.

Almost surely, 2^{27683549540416} is an apocalyptic number.

It is an amenable number.

27683549540416 is an abundant number, since it is smaller than the sum of its proper divisors (43729620726176).

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

27683549540416 is a wasteful number, since it uses less digits than its factorization.

27683549540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19573609 (or 19573592 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 27683549540416 in words is "twenty-seven trillion, six hundred eighty-three billion, five hundred forty-nine million, five hundred forty thousand, four hundred sixteen".