27995532678784 has 128 divisors (see below), whose sum is σ = 61448347396800. Its totient is φ = 12599162265600.

The previous prime is 27995532678779. The next prime is 27995532678787. The reversal of 27995532678784 is 48787623559972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27995532678698 and 27995532678707.

It is not an unprimeable number, because it can be changed into a prime (27995532678787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57608532 + ... + 58092460.

Almost surely, 2^{27995532678784} 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 27995532678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30724173698400).

27995532678784 is an abundant number, since it is smaller than the sum of its proper divisors (33452814718016).

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

27995532678784 is a wasteful number, since it uses less digits than its factorization.

27995532678784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484362 (or 484350 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 82.

The spelling of 27995532678784 in words is "twenty-seven trillion, nine hundred ninety-five billion, five hundred thirty-two million, six hundred seventy-eight thousand, seven hundred eighty-four".