27836098996608 has 960 divisors, whose sum is σ = 98793491504400. Its totient is φ = 7753429942272.

The previous prime is 27836098996513. The next prime is 27836098996609. The reversal of 27836098996608 is 80669989063872.

27836098996608 is a `hidden beast` number, since 27 + 8 + 360 + 98 + 9 + 96 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27836098996609) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16799093316 + ... + 16799094972.

Almost surely, 2^{27836098996608} is an apocalyptic number.

27836098996608 is a gapful number since it is divisible by the number (28) 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 27836098996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49396745752200).

27836098996608 is an abundant number, since it is smaller than the sum of its proper divisors (70957392507792).

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

27836098996608 is a wasteful number, since it uses less digits than its factorization.

27836098996608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 27836098996608 in words is "twenty-seven trillion, eight hundred thirty-six billion, ninety-eight million, nine hundred ninety-six thousand, six hundred eight".