58743872352 has 240 divisors, whose sum is σ = 189965647872. Its totient is φ = 17659918080.

The previous prime is 58743872347. The next prime is 58743872353. The reversal of 58743872352 is 25327834785.

58743872352 is a `hidden beast` number, since 587 + 4 + 3 + 8 + 7 + 2 + 3 + 52 = 666.

58743872352 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58743872353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3612913 + ... + 3629135.

Almost surely, 2^58743872352 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 58743872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94982823936).

58743872352 is an abundant number, since it is smaller than the sum of its proper divisors (131221775520).

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

58743872352 is a wasteful number, since it uses less digits than its factorization.

58743872352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16383 (or 16366 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 58743872352 in words is "fifty-eight billion, seven hundred forty-three million, eight hundred seventy-two thousand, three hundred fifty-two".