58736289990144 has 960 divisors, whose sum is σ = 178667477049600. Its totient is φ = 17122000896000.

The previous prime is 58736289990137. The next prime is 58736289990163. The reversal of 58736289990144 is 44109998263785.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55886098419 + ... + 55886099469.

It is an arithmetic number, because the mean of its divisors is an integer number (186111955260).

It is a 1-persistent number, because it is pandigital, but 2⋅58736289990144 = 117472579980288 is not.

Almost surely, 2^{58736289990144} 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 58736289990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89333738524800).

58736289990144 is an abundant number, since it is smaller than the sum of its proper divisors (119931187059456).

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

58736289990144 is a wasteful number, since it uses less digits than its factorization.

58736289990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 75.

The spelling of 58736289990144 in words is "fifty-eight trillion, seven hundred thirty-six billion, two hundred eighty-nine million, nine hundred ninety thousand, one hundred forty-four".