52058638080 has 432 divisors, whose sum is σ = 194255137440. Its totient is φ = 12828672000.

The previous prime is 52058638069. The next prime is 52058638087. The reversal of 52058638080 is 8083685025.

It is a happy number.

52058638080 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 8 + 638 + 0 + 8 + 0 = 666.

52058638080 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52058638087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8971180 + ... + 8976980.

It is an arithmetic number, because the mean of its divisors is an integer number (449664670).

Almost surely, 2^52058638080 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 52058638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97127568720).

52058638080 is an abundant number, since it is smaller than the sum of its proper divisors (142196499360).

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

52058638080 is a wasteful number, since it uses less digits than its factorization.

52058638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 52058638080 in words is "fifty-two billion, fifty-eight million, six hundred thirty-eight thousand, eighty".