58542346752 has 320 divisors, whose sum is σ = 174115713024. Its totient is φ = 17384407040.

The previous prime is 58542346693. The next prime is 58542346771. The reversal of 58542346752 is 25764324585.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 58542346695 and 58542346704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64261177 + ... + 64262087.

Almost surely, 2^58542346752 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 58542346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87057856512).

58542346752 is an abundant number, since it is smaller than the sum of its proper divisors (115573366272).

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

58542346752 is a wasteful number, since it uses less digits than its factorization.

58542346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 51.

The spelling of 58542346752 in words is "fifty-eight billion, five hundred forty-two million, three hundred forty-six thousand, seven hundred fifty-two".