58727678277312 has 1344 divisors, whose sum is σ = 209865948364800. Its totient is φ = 16084002816000.

The previous prime is 58727678277209. The next prime is 58727678277319. The reversal of 58727678277312 is 21377287672785.

58727678277312 is a `hidden beast` number, since 5 + 8 + 7 + 276 + 78 + 277 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (58727678277319) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7154055864 + ... + 7154064072.

It is an arithmetic number, because the mean of its divisors is an integer number (156150259200).

Almost surely, 2^{58727678277312} 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 58727678277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104932974182400).

58727678277312 is an abundant number, since it is smaller than the sum of its proper divisors (151138270087488).

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

58727678277312 is a wasteful number, since it uses less digits than its factorization.

58727678277312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8346 counting only the distinct ones).

The product of its digits is 774466560, while the sum is 72.

The spelling of 58727678277312 in words is "fifty-eight trillion, seven hundred twenty-seven billion, six hundred seventy-eight million, two hundred seventy-seven thousand, three hundred twelve".