53504501200 has 240 divisors, whose sum is σ = 144624426480. Its totient is φ = 18920079360.

The previous prime is 53504501189. The next prime is 53504501269. The reversal of 53504501200 is 210540535.

It can be written as a sum of positive squares in 24 ways, for example, as 32372645776 + 21131855424 = 179924^2 + 145368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7292734 + ... + 7300066.

It is an arithmetic number, because the mean of its divisors is an integer number (602601777).

Almost surely, 2^53504501200 is an apocalyptic number.

53504501200 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 53504501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72312213240).

53504501200 is an abundant number, since it is smaller than the sum of its proper divisors (91119925280).

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

53504501200 is a wasteful number, since it uses less digits than its factorization.

53504501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 53504501200 in words is "fifty-three billion, five hundred four million, five hundred one thousand, two hundred".