58729270656 has 384 divisors, whose sum is σ = 192168979200. Its totient is φ = 15818084352.

The previous prime is 58729270601. The next prime is 58729270681. The reversal of 58729270656 is 65607292785.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 58729270596 and 58729270605.

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, 23462301 + ... + 23464803.

It is an arithmetic number, because the mean of its divisors is an integer number (500440050).

Almost surely, 2^58729270656 is an apocalyptic number.

58729270656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58729270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96084489600).

58729270656 is an abundant number, since it is smaller than the sum of its proper divisors (133439708544).

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

58729270656 is a wasteful number, since it uses less digits than its factorization.

58729270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 58729270656 in words is "fifty-eight billion, seven hundred twenty-nine million, two hundred seventy thousand, six hundred fifty-six".