52359267840 has 320 divisors, whose sum is σ = 188502792192. Its totient is φ = 12283084800.

The previous prime is 52359267787. The next prime is 52359267847. The reversal of 52359267840 is 4876295325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52359267847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608884 + ... + 2628876.

Almost surely, 2^52359267840 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 52359267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94251396096).

52359267840 is an abundant number, since it is smaller than the sum of its proper divisors (136143524352).

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

52359267840 is a wasteful number, since it uses less digits than its factorization.

52359267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20061 (or 20045 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 52359267840 in words is "fifty-two billion, three hundred fifty-nine million, two hundred sixty-seven thousand, eight hundred forty".