54528157152 has 768 divisors, whose sum is σ = 205302988800. Its totient is φ = 13705666560.

The previous prime is 54528157139. The next prime is 54528157163. The reversal of 54528157152 is 25175182545.

It is a happy number.

54528157152 is a `hidden beast` number, since 5 + 4 + 5 + 28 + 1 + 571 + 52 = 666.

It is a super-2 number, since 2×54528157152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54528157098 and 54528157107.

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, 201210777 + ... + 201211047.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 2^54528157152 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 54528157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102651494400).

54528157152 is an abundant number, since it is smaller than the sum of its proper divisors (150774831648).

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

54528157152 is a wasteful number, since it uses less digits than its factorization.

54528157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 54528157152 in words is "fifty-four billion, five hundred twenty-eight million, one hundred fifty-seven thousand, one hundred fifty-two".