54589545920 has 224 divisors, whose sum is σ = 169402036608. Its totient is φ = 16260268032.

The previous prime is 54589545917. The next prime is 54589546087. The reversal of 54589545920 is 2954598545.

It is a happy number.

54589545920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439904 + ... + 550176.

It is an arithmetic number, because the mean of its divisors is an integer number (756259092).

Almost surely, 2^54589545920 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 54589545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701018304).

54589545920 is an abundant number, since it is smaller than the sum of its proper divisors (114812490688).

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

54589545920 is a wasteful number, since it uses less digits than its factorization.

54589545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110327 (or 110317 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 56.

The spelling of 54589545920 in words is "fifty-four billion, five hundred eighty-nine million, five hundred forty-five thousand, nine hundred twenty".