27548990124768 has 384 divisors, whose sum is σ = 97048336896000. Its totient is φ = 7427153088000.

The previous prime is 27548990124743. The next prime is 27548990124781. The reversal of 27548990124768 is 86742109984572.

It is a happy number.

27548990124768 is a `hidden beast` number, since 2 + 7 + 5 + 489 + 90 + 12 + 47 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27548990124696 and 27548990124705.

It is a congruent number.

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, 28365343 + ... + 29320481.

It is an arithmetic number, because the mean of its divisors is an integer number (252730044000).

Almost surely, 2^{27548990124768} is an apocalyptic number.

27548990124768 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 27548990124768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48524168448000).

27548990124768 is an abundant number, since it is smaller than the sum of its proper divisors (69499346771232).

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

27548990124768 is a wasteful number, since it uses less digits than its factorization.

27548990124768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955435 (or 955421 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 27548990124768 in words is "twenty-seven trillion, five hundred forty-eight billion, nine hundred ninety million, one hundred twenty-four thousand, seven hundred sixty-eight".