53300269189440 has 4032 divisors, whose sum is σ = 260523907338240. Its totient is φ = 9694653972480.

The previous prime is 53300269189439. The next prime is 53300269189441. The reversal of 53300269189440 is 4498196200335.

53300269189440 is a `hidden beast` number, since 5 + 3 + 30 + 0 + 2 + 6 + 91 + 89 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (53300269189439) and next prime (53300269189441).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53300269189441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 49859933226 + ... + 49859934294.

It is an arithmetic number, because the mean of its divisors is an integer number (64614064320).

Almost surely, 2^{53300269189440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53300269189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130261953669120).

53300269189440 is an abundant number, since it is smaller than the sum of its proper divisors (207223638148800).

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

53300269189440 is a wasteful number, since it uses less digits than its factorization.

53300269189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 53300269189440 in words is "fifty-three trillion, three hundred billion, two hundred sixty-nine million, one hundred eighty-nine thousand, four hundred forty".