52384112640 has 672 divisors, whose sum is σ = 198939424320. Its totient is φ = 13186105344.

The previous prime is 52384112633. The next prime is 52384112687. The reversal of 52384112640 is 4621148325.

It is a happy number.

52384112640 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 4 + 1 + 1 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 52384112595 and 52384112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189112182 + ... + 189112458.

It is an arithmetic number, because the mean of its divisors is an integer number (296040810).

Almost surely, 2^52384112640 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 52384112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99469712160).

52384112640 is an abundant number, since it is smaller than the sum of its proper divisors (146555311680).

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

52384112640 is an equidigital number, since it uses as much as digits as its factorization.

52384112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52384112640 in words is "fifty-two billion, three hundred eighty-four million, one hundred twelve thousand, six hundred forty".