54118009881936 has 4320 divisors, whose sum is σ = 230104722355200. Its totient is φ = 12105328435200.

The previous prime is 54118009881893. The next prime is 54118009881941. The reversal of 54118009881936 is 63918890081145.

54118009881936 is a `hidden beast` number, since 541 + 1 + 8 + 0 + 0 + 9 + 8 + 81 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 496495503450 + ... + 496495503558.

Almost surely, 2^{54118009881936} is an apocalyptic number.

54118009881936 is a gapful number since it is divisible by the number (56) 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 54118009881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115052361177600).

54118009881936 is an abundant number, since it is smaller than the sum of its proper divisors (175986712473264).

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

54118009881936 is a wasteful number, since it uses less digits than its factorization.

54118009881936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

It can be divided in two parts, 54118009 and 881936, that added together give a palindrome (54999945).

The spelling of 54118009881936 in words is "fifty-four trillion, one hundred eighteen billion, nine million, eight hundred eighty-one thousand, nine hundred thirty-six".