58771618272 has 288 divisors, whose sum is σ = 180731494944. Its totient is φ = 18048614400.

The previous prime is 58771618201. The next prime is 58771618309. The reversal of 58771618272 is 27281617785.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×58771618272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91687072 + ... + 91687712.

It is an arithmetic number, because the mean of its divisors is an integer number (627539913).

Almost surely, 2^58771618272 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 58771618272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90365747472).

58771618272 is an abundant number, since it is smaller than the sum of its proper divisors (121959876672).

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

58771618272 is a wasteful number, since it uses less digits than its factorization.

58771618272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 58771618272 in words is "fifty-eight billion, seven hundred seventy-one million, six hundred eighteen thousand, two hundred seventy-two".