27603382093056 has 972 divisors, whose sum is σ = 103822869005856. Its totient is φ = 7169340119040.

The previous prime is 27603382092971. The next prime is 27603382093057. The reversal of 27603382093056 is 65039028330672.

It is a happy number.

27603382093056 is a `hidden beast` number, since 2 + 7 + 603 + 3 + 8 + 20 + 9 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 = 27603382092993 and 27603382093011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27603382093057) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1422625051 + ... + 1422644453.

Almost surely, 2^{27603382093056} 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 27603382093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51911434502928).

27603382093056 is an abundant number, since it is smaller than the sum of its proper divisors (76219486912800).

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

27603382093056 is an frugal number, since it uses more digits than its factorization.

27603382093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19472 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 27603382093056 in words is "twenty-seven trillion, six hundred three billion, three hundred eighty-two million, ninety-three thousand, fifty-six".