54205017507060 has 192 divisors, whose sum is σ = 175191114352128. Its totient is φ = 12266355419136.

The previous prime is 54205017507049. The next prime is 54205017507089. The reversal of 54205017507060 is 6070571050245.

It is a happy number.

54205017507060 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16781562 + ... + 19749198.

It is an arithmetic number, because the mean of its divisors is an integer number (912453720584).

Almost surely, 2^{54205017507060} 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 54205017507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87595557176064).

54205017507060 is an abundant number, since it is smaller than the sum of its proper divisors (120986096845068).

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

54205017507060 is a wasteful number, since it uses less digits than its factorization.

54205017507060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968090 (or 2968088 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 54205017507060 in words is "fifty-four trillion, two hundred five billion, seventeen million, five hundred seven thousand, sixty".