53668337384640 has 448 divisors, whose sum is σ = 188800602181632. Its totient is φ = 12807195340800.

The previous prime is 53668337384617. The next prime is 53668337384647. The reversal of 53668337384640 is 4648373386635.

53668337384640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (53668337384647) 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 63 ways as a sum of consecutive naturals, for example, 482040019 + ... + 482151341.

It is an arithmetic number, because the mean of its divisors is an integer number (421429915584).

Almost surely, 2^{53668337384640} 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 53668337384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94400301090816).

53668337384640 is an abundant number, since it is smaller than the sum of its proper divisors (135132264796992).

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

53668337384640 is a wasteful number, since it uses less digits than its factorization.

53668337384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112068 (or 112058 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 66.

The spelling of 53668337384640 in words is "fifty-three trillion, six hundred sixty-eight billion, three hundred thirty-seven million, three hundred eighty-four thousand, six hundred forty".