54108131326704 has 3840 divisors, whose sum is σ = 227757422592000. Its totient is φ = 12099684925440.

The previous prime is 54108131326703. The next prime is 54108131326709. The reversal of 54108131326704 is 40762313180145.

54108131326704 is a `hidden beast` number, since 5 + 410 + 8 + 131 + 32 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54108131326704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54108131326703) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 201145469482 + ... + 201145469750.

It is an arithmetic number, because the mean of its divisors is an integer number (59311828800).

Almost surely, 2^{54108131326704} is an apocalyptic number.

54108131326704 is a gapful number since it is divisible by the number (54) 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 54108131326704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113878711296000).

54108131326704 is an abundant number, since it is smaller than the sum of its proper divisors (173649291265296).

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

54108131326704 is a wasteful number, since it uses less digits than its factorization.

54108131326704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 54108131326704 in words is "fifty-four trillion, one hundred eight billion, one hundred thirty-one million, three hundred twenty-six thousand, seven hundred four".