58505488272 has 480 divisors, whose sum is σ = 212786380800. Its totient is φ = 15064600320.

The previous prime is 58505488229. The next prime is 58505488319. The reversal of 58505488272 is 27288450585.

58505488272 is a `hidden beast` number, since 58 + 505 + 4 + 8 + 82 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46469179 + ... + 46470437.

It is an arithmetic number, because the mean of its divisors is an integer number (443304960).

Almost surely, 2^58505488272 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 58505488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106393190400).

58505488272 is an abundant number, since it is smaller than the sum of its proper divisors (154280892528).

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

58505488272 is a wasteful number, since it uses less digits than its factorization.

58505488272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 58505488272 in words is "fifty-eight billion, five hundred five million, four hundred eighty-eight thousand, two hundred seventy-two".