53824366189440 has 1152 divisors, whose sum is σ = 236769842050560. Its totient is φ = 11026687795200.

The previous prime is 53824366189397. The next prime is 53824366189441. The reversal of 53824366189440 is 4498166342835.

53824366189440 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 4 + 3 + 6 + 6 + 189 + 440 = 666.

53824366189440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53824366189441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346311427 + ... + 346466813.

It is an arithmetic number, because the mean of its divisors is an integer number (205529376780).

Almost surely, 2^{53824366189440} 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 53824366189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118384921025280).

53824366189440 is an abundant number, since it is smaller than the sum of its proper divisors (182945475861120).

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

53824366189440 is a wasteful number, since it uses less digits than its factorization.

53824366189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155512 (or 155486 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 53824366189440 in words is "fifty-three trillion, eight hundred twenty-four billion, three hundred sixty-six million, one hundred eighty-nine thousand, four hundred forty".