58219140672 has 840 divisors, whose sum is σ = 219753911520. Its totient is φ = 14604226560.

The previous prime is 58219140667. The next prime is 58219140689. The reversal of 58219140672 is 27604191285.

58219140672 is a `hidden beast` number, since 58 + 2 + 191 + 406 + 7 + 2 = 666.

It is a super-3 number, since 3×58219140672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 654147604 + ... + 654147692.

Almost surely, 2^58219140672 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 58219140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109876955760).

58219140672 is an abundant number, since it is smaller than the sum of its proper divisors (161534770848).

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

58219140672 is a wasteful number, since it uses less digits than its factorization.

58219140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 58219 and 140672, that added together give a palindrome (198891).

The spelling of 58219140672 in words is "fifty-eight billion, two hundred nineteen million, one hundred forty thousand, six hundred seventy-two".