52301168640 has 640 divisors, whose sum is σ = 214673785920. Its totient is φ = 11933319168.

The previous prime is 52301168639. The next prime is 52301168641. The reversal of 52301168640 is 4686110325.

It is a happy number.

52301168640 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 1 + 1 + 6 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (52301168639) and next prime (52301168641).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×52301168640³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 52301168595 and 52301168604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52301168641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92896999 + ... + 92897561.

Almost surely, 2^52301168640 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 52301168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107336892960).

52301168640 is an abundant number, since it is smaller than the sum of its proper divisors (162372617280).

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

52301168640 is an frugal number, since it uses more digits than its factorization.

52301168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 52301168640 its reverse (4686110325), we get a palindrome (56987278965).

The spelling of 52301168640 in words is "fifty-two billion, three hundred one million, one hundred sixty-eight thousand, six hundred forty".