58340021668096 has 243 divisors, whose sum is σ = 138503755646067. Its totient is φ = 24454025702400.

The previous prime is 58340021668081. The next prime is 58340021668297. The reversal of 58340021668096 is 69086612004385.

The square root of 58340021668096 is 7638064.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58340021668096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40206768171 + ... + 40206769621.

Almost surely, 2^{58340021668096} is an apocalyptic number.

58340021668096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

58340021668096 is the 7638064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58340021668096

58340021668096 is an abundant number, since it is smaller than the sum of its proper divisors (80163733977971).

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

58340021668096 is an frugal number, since it uses more digits than its factorization.

58340021668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 58340021668096 in words is "fifty-eight trillion, three hundred forty billion, twenty-one million, six hundred sixty-eight thousand, ninety-six".