27435903166056 has 192 divisors, whose sum is σ = 87089951597760. Its totient is φ = 7122245760000.

The previous prime is 27435903166037. The next prime is 27435903166103. The reversal of 27435903166056 is 65066130953472.

It is a junction number, because it is equal to n+sod(n) for n = 27435903165987 and 27435903166005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22708926 + ... + 23886546.

It is an arithmetic number, because the mean of its divisors is an integer number (453593497905).

Almost surely, 2^{27435903166056} 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 27435903166056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43544975798880).

27435903166056 is an abundant number, since it is smaller than the sum of its proper divisors (59654048431704).

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

27435903166056 is a wasteful number, since it uses less digits than its factorization.

27435903166056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179456 (or 1179445 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 27435903166056 in words is "twenty-seven trillion, four hundred thirty-five billion, nine hundred three million, one hundred sixty-six thousand, fifty-six".