53534342400 has 864 divisors, whose sum is σ = 225068928000. Its totient is φ = 11108966400.

The previous prime is 53534342387. The next prime is 53534342417. The reversal of 53534342400 is 424343535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72441231 + ... + 72441969.

Almost surely, 2^53534342400 is an apocalyptic number.

53534342400 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 53534342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112534464000).

53534342400 is an abundant number, since it is smaller than the sum of its proper divisors (171534585600).

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

53534342400 is a wasteful number, since it uses less digits than its factorization.

53534342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 53534342400 its reverse (424343535), we get a palindrome (53958685935).

The spelling of 53534342400 in words is "fifty-three billion, five hundred thirty-four million, three hundred forty-two thousand, four hundred".