58578429312 has 512 divisors, whose sum is σ = 194226278400. Its totient is φ = 17258987520.

The previous prime is 58578429307. The next prime is 58578429319. The reversal of 58578429312 is 21392487585.

58578429312 is a `hidden beast` number, since 58 + 578 + 4 + 2 + 9 + 3 + 12 = 666.

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 (58578429319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190809063 + ... + 190809369.

It is an arithmetic number, because the mean of its divisors is an integer number (379348200).

Almost surely, 2^58578429312 is an apocalyptic number.

58578429312 is a gapful number since it is divisible by the number (52) 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 58578429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97113139200).

58578429312 is an abundant number, since it is smaller than the sum of its proper divisors (135647849088).

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

58578429312 is a wasteful number, since it uses less digits than its factorization.

58578429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 58578429312 in words is "fifty-eight billion, five hundred seventy-eight million, four hundred twenty-nine thousand, three hundred twelve".