27635964048 has 320 divisors, whose sum is σ = 104719011840. Its totient is φ = 6755788800.

The previous prime is 27635964011. The next prime is 27635964079. The reversal of 27635964048 is 84046953672.

27635964048 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 596 + 4 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27635963985 and 27635964003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541053 + ... + 589923.

It is an arithmetic number, because the mean of its divisors is an integer number (327246912).

Almost surely, 2^27635964048 is an apocalyptic number.

27635964048 is a gapful number since it is divisible by the number (28) 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 27635964048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52359505920).

27635964048 is an abundant number, since it is smaller than the sum of its proper divisors (77083047792).

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

27635964048 is a wasteful number, since it uses less digits than its factorization.

27635964048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48923 (or 48911 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 27635964048 in words is "twenty-seven billion, six hundred thirty-five million, nine hundred sixty-four thousand, forty-eight".