27756699108480 has 192 divisors, whose sum is σ = 95906805504120. Its totient is φ = 7397195120640.

The previous prime is 27756699108461. The next prime is 27756699108527. The reversal of 27756699108480 is 8480199665772.

27756699108480 is a `hidden beast` number, since 2 + 7 + 7 + 56 + 6 + 9 + 91 + 0 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25641908398656 + 2114790709824 = 5063784^2 + 1454232^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27756699108399 and 27756699108408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7797120 + ... + 10784640.

Almost surely, 2^{27756699108480} is an apocalyptic number.

27756699108480 is a gapful number since it is divisible by the number (20) 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 27756699108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47953402752060).

27756699108480 is an abundant number, since it is smaller than the sum of its proper divisors (68150106395640).

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

27756699108480 is a wasteful number, since it uses less digits than its factorization.

27756699108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989159 (or 2989144 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 27756699108480 in words is "twenty-seven trillion, seven hundred fifty-six billion, six hundred ninety-nine million, one hundred eight thousand, four hundred eighty".