54580356336 has 240 divisors, whose sum is σ = 159933692160. Its totient is φ = 15906124800.

The previous prime is 54580356317. The next prime is 54580356353. The reversal of 54580356336 is 63365308545.

54580356336 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133448100 + ... + 133448508.

It is an arithmetic number, because the mean of its divisors is an integer number (666390384).

Almost surely, 2^54580356336 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 54580356336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79966846080).

54580356336 is an abundant number, since it is smaller than the sum of its proper divisors (105353335824).

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

54580356336 is a wasteful number, since it uses less digits than its factorization.

54580356336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 54580356336 in words is "fifty-four billion, five hundred eighty million, three hundred fifty-six thousand, three hundred thirty-six".