53838220800 has 1440 divisors, whose sum is σ = 233229072384. Its totient is φ = 10838016000.

The previous prime is 53838220741. The next prime is 53838220801. The reversal of 53838220800 is 802283835.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53838220801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758284765 + ... + 758284835.

Almost surely, 2^53838220800 is an apocalyptic number.

53838220800 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 53838220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116614536192).

53838220800 is an abundant number, since it is smaller than the sum of its proper divisors (179390851584).

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

53838220800 is a wasteful number, since it uses less digits than its factorization.

53838220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 53838220800 in words is "fifty-three billion, eight hundred thirty-eight million, two hundred twenty thousand, eight hundred".