27961635456 has 320 divisors, whose sum is σ = 89657224800. Its totient is φ = 8622028800.

The previous prime is 27961635419. The next prime is 27961635521. The reversal of 27961635456 is 65453616972.

27961635456 is a `hidden beast` number, since 2 + 7 + 96 + 1 + 6 + 3 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8469006 + ... + 8472306.

Almost surely, 2^27961635456 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 27961635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44828612400).

27961635456 is an abundant number, since it is smaller than the sum of its proper divisors (61695589344).

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

27961635456 is a wasteful number, since it uses less digits than its factorization.

27961635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3368 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 27961635456 in words is "twenty-seven billion, nine hundred sixty-one million, six hundred thirty-five thousand, four hundred fifty-six".