58778079360 has 1536 divisors, whose sum is σ = 272162177280. Its totient is φ = 10569646080.

The previous prime is 58778079301. The next prime is 58778079379. The reversal of 58778079360 is 6397087785.

It is a super-3 number, since 3×58778079360³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 58778079294 and 58778079303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228708352 + ... + 228708608.

Almost surely, 2^58778079360 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 58778079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136081088640).

58778079360 is an abundant number, since it is smaller than the sum of its proper divisors (213384097920).

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

58778079360 is a wasteful number, since it uses less digits than its factorization.

58778079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 58778079360 in words is "fifty-eight billion, seven hundred seventy-eight million, seventy-nine thousand, three hundred sixty".