27989953056 has 648 divisors, whose sum is σ = 95933270160. Its totient is φ = 8020726272.

The previous prime is 27989953027. The next prime is 27989953111. The reversal of 27989953056 is 65035998972.

27989953056 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 99 + 530 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 27989952984 and 27989953002.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 474405955 + ... + 474406013.

It is an arithmetic number, because the mean of its divisors is an integer number (148045170).

Almost surely, 2^27989953056 is an apocalyptic number.

27989953056 is a gapful number since it is divisible by the number (26) 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 27989953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47966635080).

27989953056 is an abundant number, since it is smaller than the sum of its proper divisors (67943317104).

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

27989953056 is a wasteful number, since it uses less digits than its factorization.

27989953056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 27989953056 in words is "twenty-seven billion, nine hundred eighty-nine million, nine hundred fifty-three thousand, fifty-six".