54725553668838 has 256 divisors, whose sum is σ = 127032282913536. Its totient is φ = 15567947366400.

The previous prime is 54725553668833. The next prime is 54725553668879. The reversal of 54725553668838 is 83886635552745.

It is a super-3 number, since 3×54725553668838³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54725553668838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54725553668831) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18019607856 + ... + 18019610892.

It is an arithmetic number, because the mean of its divisors is an integer number (496219855131).

Almost surely, 2^{54725553668838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54725553668838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63516141456768).

54725553668838 is an abundant number, since it is smaller than the sum of its proper divisors (72306729244698).

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

54725553668838 is a wasteful number, since it uses less digits than its factorization.

54725553668838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187.

The product of its digits is 5806080000, while the sum is 75.

The spelling of 54725553668838 in words is "fifty-four trillion, seven hundred twenty-five billion, five hundred fifty-three million, six hundred sixty-eight thousand, eight hundred thirty-eight".