58542767712 has 384 divisors, whose sum is σ = 207531072000. Its totient is φ = 15809955840.

The previous prime is 58542767711. The next prime is 58542767729. The reversal of 58542767712 is 21776724585.

58542767712 is a `hidden beast` number, since 585 + 42 + 7 + 6 + 7 + 7 + 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 (58542767711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574839 + ... + 3591177.

It is an arithmetic number, because the mean of its divisors is an integer number (540445500).

Almost surely, 2^58542767712 is an apocalyptic number.

58542767712 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 58542767712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103765536000).

58542767712 is an abundant number, since it is smaller than the sum of its proper divisors (148988304288).

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

58542767712 is a wasteful number, since it uses less digits than its factorization.

58542767712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16397 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 58542767712 in words is "fifty-eight billion, five hundred forty-two million, seven hundred sixty-seven thousand, seven hundred twelve".