54220441600 has 432 divisors, whose sum is σ = 152646284700. Its totient is φ = 18964807680.

The previous prime is 54220441579. The next prime is 54220441603. The reversal of 54220441600 is 614402245.

It can be written as a sum of positive squares in 18 ways, for example, as 500327424 + 53720114176 = 22368^2 + 231776^2 .

It is not an unprimeable number, because it can be changed into a prime (54220441603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1023027174 + ... + 1023027226.

Almost surely, 2^54220441600 is an apocalyptic number.

54220441600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54220441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76323142350).

54220441600 is an abundant number, since it is smaller than the sum of its proper divisors (98425843100).

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

54220441600 is a wasteful number, since it uses less digits than its factorization.

54220441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 54220441600 its reverse (614402245), we get a palindrome (54834843845).

The spelling of 54220441600 in words is "fifty-four billion, two hundred twenty million, four hundred forty-one thousand, six hundred".