58542744960 has 768 divisors, whose sum is σ = 246363586560. Its totient is φ = 12504858624.

The previous prime is 58542744959. The next prime is 58542744961. The reversal of 58542744960 is 6944724585.

58542744960 is a `hidden beast` number, since 5 + 8 + 542 + 7 + 4 + 4 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58542744959) and next prime (58542744961).

It is a super-3 number, since 3×58542744960³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58542744897 and 58542744906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58542744961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152852929 + ... + 152853311.

It is an arithmetic number, because the mean of its divisors is an integer number (320785920).

Almost surely, 2^58542744960 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 58542744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181793280).

58542744960 is an abundant number, since it is smaller than the sum of its proper divisors (187820841600).

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

58542744960 is a wasteful number, since it uses less digits than its factorization.

58542744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 58542744960 in words is "fifty-eight billion, five hundred forty-two million, seven hundred forty-four thousand, nine hundred sixty".