58312949760 has 680 divisors, whose sum is σ = 226474959480. Its totient is φ = 14353956864.

The previous prime is 58312949731. The next prime is 58312949777. The reversal of 58312949760 is 6794921385.

58312949760 is a `hidden beast` number, since 5 + 83 + 12 + 9 + 497 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21743271936 + 36569677824 = 147456^2 + 191232^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 58312949697 and 58312949706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4485611514 + ... + 4485611526.

It is an arithmetic number, because the mean of its divisors is an integer number (333051411).

It is a 1-persistent number, because it is pandigital, but 2⋅58312949760 = 116625899520 is not.

Almost surely, 2^58312949760 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 58312949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113237479740).

58312949760 is an abundant number, since it is smaller than the sum of its proper divisors (168162009720).

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

58312949760 is an frugal number, since it uses more digits than its factorization.

58312949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 58312949760 in words is "fifty-eight billion, three hundred twelve million, nine hundred forty-nine thousand, seven hundred sixty".