27984092544 has 160 divisors (see below), whose sum is σ = 87663991800. Its totient is φ = 8837019648.

The previous prime is 27984092533. The next prime is 27984092569. The reversal of 27984092544 is 44529048972.

It is a happy number.

27984092544 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 4 + 0 + 92 + 544 = 666.

It is a super-2 number, since 2×27984092544² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125964 + ... + 268020.

Almost surely, 2^27984092544 is an apocalyptic number.

27984092544 is a gapful number since it is divisible by the number (24) 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 27984092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43831995900).

27984092544 is an abundant number, since it is smaller than the sum of its proper divisors (59679899256).

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

27984092544 is a wasteful number, since it uses less digits than its factorization.

27984092544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142102 (or 142081 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27984092544 in words is "twenty-seven billion, nine hundred eighty-four million, ninety-two thousand, five hundred forty-four".