54122564760 has 512 divisors, whose sum is σ = 200751436800. Its totient is φ = 11501568000.

The previous prime is 54122564711. The next prime is 54122564789. The reversal of 54122564760 is 6746522145.

54122564760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26006920 + ... + 26009000.

It is an arithmetic number, because the mean of its divisors is an integer number (392092650).

Almost surely, 2^54122564760 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 54122564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100375718400).

54122564760 is an abundant number, since it is smaller than the sum of its proper divisors (146628872040).

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

54122564760 is a wasteful number, since it uses less digits than its factorization.

54122564760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 54122564760 in words is "fifty-four billion, one hundred twenty-two million, five hundred sixty-four thousand, seven hundred sixty".