27698931665568 has 480 divisors, whose sum is σ = 87433630187904. Its totient is φ = 8571647950848.

The previous prime is 27698931665557. The next prime is 27698931665609. The reversal of 27698931665568 is 86556613989672.

27698931665568 is a `hidden beast` number, since 27 + 6 + 9 + 8 + 9 + 31 + 6 + 6 + 556 + 8 = 666.

27698931665568 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1166406271 + ... + 1166430017.

Almost surely, 2^{27698931665568} 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 27698931665568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43716815093952).

27698931665568 is an abundant number, since it is smaller than the sum of its proper divisors (59734698522336).

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

27698931665568 is a wasteful number, since it uses less digits than its factorization.

27698931665568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24129 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 27698931665568 in words is "twenty-seven trillion, six hundred ninety-eight billion, nine hundred thirty-one million, six hundred sixty-five thousand, five hundred sixty-eight".