54575949312 has 280 divisors, whose sum is σ = 165815541144. Its totient is φ = 17933819904.

The previous prime is 54575949299. The next prime is 54575949313. The reversal of 54575949312 is 21394957545.

54575949312 is a `hidden beast` number, since 5 + 45 + 7 + 594 + 9 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54575949313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27246103 + ... + 27248105.

Almost surely, 2^54575949312 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 54575949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907770572).

54575949312 is an abundant number, since it is smaller than the sum of its proper divisors (111239591832).

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

54575949312 is an frugal number, since it uses more digits than its factorization.

54575949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2081 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 54575949312 in words is "fifty-four billion, five hundred seventy-five million, nine hundred forty-nine thousand, three hundred twelve".