27988101504 has 768 divisors, whose sum is σ = 100019404800. Its totient is φ = 7664025600.

The previous prime is 27988101499. The next prime is 27988101529. The reversal of 27988101504 is 40510188972.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 27988101504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220378689 + ... + 220378815.

It is an arithmetic number, because the mean of its divisors is an integer number (130233600).

Almost surely, 2^27988101504 is an apocalyptic number.

27988101504 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 27988101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50009702400).

27988101504 is an abundant number, since it is smaller than the sum of its proper divisors (72031303296).

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

27988101504 is a wasteful number, since it uses less digits than its factorization.

27988101504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 27988101504 in words is "twenty-seven billion, nine hundred eighty-eight million, one hundred one thousand, five hundred four".