54286225920 has 400 divisors, whose sum is σ = 195225596280. Its totient is φ = 14417657856.

The previous prime is 54286225871. The next prime is 54286225921. The reversal of 54286225920 is 2952268245.

It is a happy number.

54286225920 is a `hidden beast` number, since 54 + 2 + 8 + 6 + 2 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32244666624 + 22041559296 = 179568^2 + 148464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54286225921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80662704 + ... + 80663376.

Almost surely, 2^54286225920 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 54286225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97612798140).

54286225920 is an abundant number, since it is smaller than the sum of its proper divisors (140939370360).

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

54286225920 is an equidigital number, since it uses as much as digits as its factorization.

54286225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54286225920 in words is "fifty-four billion, two hundred eighty-six million, two hundred twenty-five thousand, nine hundred twenty".