52135332480 has 1280 divisors, whose sum is σ = 239075400960. Its totient is φ = 10510663680.

The previous prime is 52135332467. The next prime is 52135332481. The reversal of 52135332480 is 8423353125.

52135332480 is a `hidden beast` number, since 5 + 21 + 3 + 533 + 24 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52135332481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147691984 + ... + 147692336.

It is an arithmetic number, because the mean of its divisors is an integer number (186777657).

Almost surely, 2^52135332480 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 52135332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119537700480).

52135332480 is an abundant number, since it is smaller than the sum of its proper divisors (186940068480).

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

52135332480 is a wasteful number, since it uses less digits than its factorization.

52135332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52135332480 in words is "fifty-two billion, one hundred thirty-five million, three hundred thirty-two thousand, four hundred eighty".