54250042400 has 72 divisors (see below), whose sum is σ = 133006776084. Its totient is φ = 21606809600.

The previous prime is 54250042381. The next prime is 54250042403. The reversal of 54250042400 is 424005245.

It can be written as a sum of positive squares in 6 ways, for example, as 18045086224 + 36204956176 = 134332^2 + 190276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54250042400.

It is not an unprimeable number, because it can be changed into a prime (54250042403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40880 + ... + 331920.

Almost surely, 2^54250042400 is an apocalyptic number.

54250042400 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 54250042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66503388042).

54250042400 is an abundant number, since it is smaller than the sum of its proper divisors (78756733684).

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

54250042400 is a wasteful number, since it uses less digits than its factorization.

54250042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291294 (or 291281 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 54250042400 its reverse (424005245), we get a palindrome (54674047645).

The spelling of 54250042400 in words is "fifty-four billion, two hundred fifty million, forty-two thousand, four hundred".