58798172160 has 1920 divisors, whose sum is σ = 279697017600. Its totient is φ = 11466178560.

The previous prime is 58798172137. The next prime is 58798172177. The reversal of 58798172160 is 6127189785.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 58798172097 and 58798172106.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4920 × 3192 × 3744.

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 159 ways as a sum of consecutive naturals, for example, 1434101740 + ... + 1434101780.

It is an arithmetic number, because the mean of its divisors is an integer number (145675530).

Almost surely, 2^58798172160 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 58798172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139848508800).

58798172160 is an abundant number, since it is smaller than the sum of its proper divisors (220898845440).

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

58798172160 is a wasteful number, since it uses less digits than its factorization.

58798172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 58798172160 in words is "fifty-eight billion, seven hundred ninety-eight million, one hundred seventy-two thousand, one hundred sixty".