54126341975808 has 216 divisors, whose sum is σ = 164287682249600. Its totient is φ = 17091027412992.

The previous prime is 54126341975807. The next prime is 54126341975809. The reversal of 54126341975808 is 80857914362145.

It is a happy number.

54126341975808 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 6 + 3 + 41 + 9 + 7 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54126341975807) and next prime (54126341975809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54126341975807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565494291 + ... + 565589997.

It is a 1-persistent number, because it is pandigital, but 2⋅54126341975808 = 108252683951616 is not.

Almost surely, 2^{54126341975808} 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 54126341975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82143841124800).

54126341975808 is an abundant number, since it is smaller than the sum of its proper divisors (110161340273792).

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

54126341975808 is a wasteful number, since it uses less digits than its factorization.

54126341975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108667 (or 108650 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 54126341975808 in words is "fifty-four trillion, one hundred twenty-six billion, three hundred forty-one million, nine hundred seventy-five thousand, eight hundred eight".