54525985920 has 1280 divisors, whose sum is σ = 238862131200. Its totient is φ = 11583627264.

The previous prime is 54525985909. The next prime is 54525985957. The reversal of 54525985920 is 2958952545.

54525985920 is a `hidden beast` number, since 5 + 4 + 525 + 98 + 5 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 392273211 + ... + 392273349.

It is an arithmetic number, because the mean of its divisors is an integer number (186611040).

Almost surely, 2^54525985920 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 54525985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119431065600).

54525985920 is an abundant number, since it is smaller than the sum of its proper divisors (184336145280).

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

54525985920 is a wasteful number, since it uses less digits than its factorization.

54525985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 54525985920 in words is "fifty-four billion, five hundred twenty-five million, nine hundred eighty-five thousand, nine hundred twenty".