53518012800 has 768 divisors, whose sum is σ = 216371865600. Its totient is φ = 11348213760.

The previous prime is 53518012789. The next prime is 53518012811. The reversal of 53518012800 is 821081535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53518012789) and next prime (53518012811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90249304 + ... + 90249896.

It is an arithmetic number, because the mean of its divisors is an integer number (281734200).

Almost surely, 2^53518012800 is an apocalyptic number.

53518012800 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 53518012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108185932800).

53518012800 is an abundant number, since it is smaller than the sum of its proper divisors (162853852800).

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

53518012800 is a wasteful number, since it uses less digits than its factorization.

53518012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 53518012800 in words is "fifty-three billion, five hundred eighteen million, twelve thousand, eight hundred".