53306668800 has 1944 divisors, whose sum is σ = 258615603792. Its totient is φ = 10321920000.

The previous prime is 53306668787. The next prime is 53306668829. The reversal of 53306668800 is 886660335.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 527788750 + ... + 527788850.

It is an arithmetic number, because the mean of its divisors is an integer number (133032718).

Almost surely, 2^53306668800 is an apocalyptic number.

53306668800 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 53306668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129307801896).

53306668800 is an abundant number, since it is smaller than the sum of its proper divisors (205308934992).

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

53306668800 is a wasteful number, since it uses less digits than its factorization.

53306668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53306668800 in words is "fifty-three billion, three hundred six million, six hundred sixty-eight thousand, eight hundred".