53688835200 has 1536 divisors, whose sum is σ = 245464289280. Its totient is φ = 9953280000.

The previous prime is 53688835159. The next prime is 53688835201. The reversal of 53688835200 is 253888635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53688835200.

It is not an unprimeable number, because it can be changed into a prime (53688835201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355555125 + ... + 355555275.

It is an arithmetic number, because the mean of its divisors is an integer number (159807480).

Almost surely, 2^53688835200 is an apocalyptic number.

53688835200 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 53688835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732144640).

53688835200 is an abundant number, since it is smaller than the sum of its proper divisors (191775454080).

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

53688835200 is a wasteful number, since it uses less digits than its factorization.

53688835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

It can be divided in two parts, 53688 and 835200, that added together give a palindrome (888888).

The spelling of 53688835200 in words is "fifty-three billion, six hundred eighty-eight million, eight hundred thirty-five thousand, two hundred".