58012769280 has 704 divisors, whose sum is σ = 208837232640. Its totient is φ = 13674479616.

The previous prime is 58012769279. The next prime is 58012769303. The reversal of 58012769280 is 8296721085.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 355906479 + ... + 355906641.

Almost surely, 2^58012769280 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 58012769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104418616320).

58012769280 is an abundant number, since it is smaller than the sum of its proper divisors (150824463360).

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

58012769280 is a wasteful number, since it uses less digits than its factorization.

58012769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 58012769280 in words is "fifty-eight billion, twelve million, seven hundred sixty-nine thousand, two hundred eighty".