58401142180096 has 81 divisors (see below), whose sum is σ = 117764684830443. Its totient is φ = 28905342873600.

The previous prime is 58401142180093. The next prime is 58401142180099. The reversal of 58401142180096 is 69008124110485.

The square root of 58401142180096 is 7642064.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (58401142180093) and next prime (58401142180099).

It can be written as a sum of positive squares in 4 ways, for example, as 178138020096 + 58223004160000 = 422064^2 + 7630400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58401142180093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12349573060 + ... + 12349577788.

Almost surely, 2^{58401142180096} is an apocalyptic number.

58401142180096 is the 7642064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58401142180096

58401142180096 is an abundant number, since it is smaller than the sum of its proper divisors (59363542650347).

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

58401142180096 is an frugal number, since it uses more digits than its factorization.

58401142180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 58401142180096 in words is "fifty-eight trillion, four hundred one billion, one hundred forty-two million, one hundred eighty thousand, ninety-six".