58161789504 has 1176 divisors, whose sum is σ = 230404050240. Its totient is φ = 14390949888.

The previous prime is 58161789479. The next prime is 58161789541. The reversal of 58161789504 is 40598716185.

It is a happy number.

58161789504 is a `hidden beast` number, since 5 + 8 + 1 + 61 + 78 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-4 number, since 4×58161789504⁴ (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 564677517 + ... + 564677619.

Almost surely, 2^58161789504 is an apocalyptic number.

58161789504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58161789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115202025120).

58161789504 is an abundant number, since it is smaller than the sum of its proper divisors (172242260736).

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

58161789504 is a wasteful number, since it uses less digits than its factorization.

58161789504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 58161789504 in words is "fifty-eight billion, one hundred sixty-one million, seven hundred eighty-nine thousand, five hundred four".