58052753136 has 600 divisors, whose sum is σ = 207471470976. Its totient is φ = 15598033920.

The previous prime is 58052753029. The next prime is 58052753137. The reversal of 58052753136 is 63135725085.

58052753136 is a `hidden beast` number, since 5 + 80 + 5 + 2 + 7 + 531 + 36 = 666.

58052753136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58052753091 and 58052753100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58052753137) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72838690 + ... + 72839486.

Almost surely, 2^58052753136 is an apocalyptic number.

58052753136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58052753136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103735735488).

58052753136 is an abundant number, since it is smaller than the sum of its proper divisors (149418717840).

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

58052753136 is a wasteful number, since it uses less digits than its factorization.

58052753136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 58052753136 in words is "fifty-eight billion, fifty-two million, seven hundred fifty-three thousand, one hundred thirty-six".