27969785163408 has 160 divisors (see below), whose sum is σ = 81672395489280. Its totient is φ = 8174827947520.

The previous prime is 27969785163371. The next prime is 27969785163409. The reversal of 27969785163408 is 80436158796972.

It is a self number, because there is not a number n which added to its sum of digits gives 27969785163408.

It is not an unprimeable number, because it can be changed into a prime (27969785163409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6819216 + ... + 10121327.

It is an arithmetic number, because the mean of its divisors is an integer number (510452471808).

It is a 1-persistent number, because it is pandigital, but 2⋅27969785163408 = 55939570326816 is not.

Almost surely, 2^{27969785163408} is an apocalyptic number.

It is an amenable number.

27969785163408 is an abundant number, since it is smaller than the sum of its proper divisors (53702610325872).

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

27969785163408 is a wasteful number, since it uses less digits than its factorization.

27969785163408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940677 (or 16940671 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 27969785163408 in words is "twenty-seven trillion, nine hundred sixty-nine billion, seven hundred eighty-five million, one hundred sixty-three thousand, four hundred eight".