53331238800 has 360 divisors, whose sum is σ = 211885277760. Its totient is φ = 12168576000.

The previous prime is 53331238703. The next prime is 53331238801. The reversal of 53331238800 is 883213335.

53331238800 is a `hidden beast` number, since 533 + 3 + 12 + 38 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53331238801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 17663691 + ... + 17666709.

It is an arithmetic number, because the mean of its divisors is an integer number (588570216).

Almost surely, 2^53331238800 is an apocalyptic number.

53331238800 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 53331238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105942638880).

53331238800 is an abundant number, since it is smaller than the sum of its proper divisors (158554038960).

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

53331238800 is a wasteful number, since it uses less digits than its factorization.

53331238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53331238800 in words is "fifty-three billion, three hundred thirty-one million, two hundred thirty-eight thousand, eight hundred".