27725343123456 has 576 divisors, whose sum is σ = 91755399153600. Its totient is φ = 8263766016000.

The previous prime is 27725343123329. The next prime is 27725343123547. The reversal of 27725343123456 is 65432134352772.

27725343123456 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 534 + 31 + 23 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 408105811 + ... + 408173741.

It is an arithmetic number, because the mean of its divisors is an integer number (159297567975).

Almost surely, 2^{27725343123456} 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 27725343123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45877699576800).

27725343123456 is an abundant number, since it is smaller than the sum of its proper divisors (64030056030144).

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

27725343123456 is a wasteful number, since it uses less digits than its factorization.

27725343123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68045 (or 68008 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 27725343123456 in words is "twenty-seven trillion, seven hundred twenty-five billion, three hundred forty-three million, one hundred twenty-three thousand, four hundred fifty-six".