53353503242400 has 288 divisors, whose sum is σ = 183891936287808. Its totient is φ = 13389907148800.

The previous prime is 53353503242387. The next prime is 53353503242419. The reversal of 53353503242400 is 424230535335.

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, 1084153795 + ... + 1084203005.

It is an arithmetic number, because the mean of its divisors is an integer number (638513667666).

Almost surely, 2^{53353503242400} is an apocalyptic number.

53353503242400 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 53353503242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91945968143904).

53353503242400 is an abundant number, since it is smaller than the sum of its proper divisors (130538433045408).

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

53353503242400 is a wasteful number, since it uses less digits than its factorization.

53353503242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75824 (or 75811 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 39.

Adding to 53353503242400 its reverse (424230535335), we get a palindrome (53777733777735).

The spelling of 53353503242400 in words is "fifty-three trillion, three hundred fifty-three billion, five hundred three million, two hundred forty-two thousand, four hundred".