53356940800 has 240 divisors, whose sum is σ = 136274059152. Its totient is φ = 20691353600.

The previous prime is 53356940771. The next prime is 53356940807. The reversal of 53356940800 is 804965335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53356940807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153766227 + ... + 153766573.

Almost surely, 2^53356940800 is an apocalyptic number.

53356940800 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 53356940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68137029576).

53356940800 is an abundant number, since it is smaller than the sum of its proper divisors (82917118352).

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

53356940800 is a wasteful number, since it uses less digits than its factorization.

53356940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 53356940800 in words is "fifty-three billion, three hundred fifty-six million, nine hundred forty thousand, eight hundred".