58825673280 has 672 divisors, whose sum is σ = 231591185280. Its totient is φ = 14093844480.

The previous prime is 58825673267. The next prime is 58825673281. The reversal of 58825673280 is 8237652885.

58825673280 is a `hidden beast` number, since 58 + 8 + 2 + 567 + 3 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58825673281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82969566 + ... + 82970274.

It is an arithmetic number, because the mean of its divisors is an integer number (344629740).

Almost surely, 2^58825673280 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 58825673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115795592640).

58825673280 is an abundant number, since it is smaller than the sum of its proper divisors (172765512000).

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

58825673280 is a wasteful number, since it uses less digits than its factorization.

58825673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 58825673280 in words is "fifty-eight billion, eight hundred twenty-five million, six hundred seventy-three thousand, two hundred eighty".