54155975328 has 672 divisors, whose sum is σ = 199530245376. Its totient is φ = 14081900544.

The previous prime is 54155975323. The next prime is 54155975351. The reversal of 54155975328 is 82357955145.

54155975328 is a `hidden beast` number, since 5 + 4 + 15 + 5 + 97 + 532 + 8 = 666.

54155975328 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54155975323) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 205916125 + ... + 205916387.

It is an arithmetic number, because the mean of its divisors is an integer number (296920008).

Almost surely, 2^54155975328 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 54155975328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99765122688).

54155975328 is an abundant number, since it is smaller than the sum of its proper divisors (145374270048).

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

54155975328 is a wasteful number, since it uses less digits than its factorization.

54155975328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 54155975328 in words is "fifty-four billion, one hundred fifty-five million, nine hundred seventy-five thousand, three hundred twenty-eight".