54135518704876 has 192 divisors, whose sum is σ = 113685124833280. Its totient is φ = 22068788152320.

The previous prime is 54135518704871. The next prime is 54135518704919. The reversal of 54135518704876 is 67840781553145.

54135518704876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54135518704871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37883497330 + ... + 37883498758.

Almost surely, 2^{54135518704876} 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 54135518704876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56842562416640).

54135518704876 is an abundant number, since it is smaller than the sum of its proper divisors (59549606128404).

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

54135518704876 is a wasteful number, since it uses less digits than its factorization.

54135518704876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 64.

The spelling of 54135518704876 in words is "fifty-four trillion, one hundred thirty-five billion, five hundred eighteen million, seven hundred four thousand, eight hundred seventy-six".