58105764066551 has 16 divisors (see below), whose sum is σ = 60604447812480. Its totient is φ = 55660137755040.

The previous prime is 58105764066517. The next prime is 58105764066557. The reversal of 58105764066551 is 15566046750185.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58105764066551 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58105764066557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26840 + ... + 10780178.

It is an arithmetic number, because the mean of its divisors is an integer number (3787777988280).

Almost surely, 2^{58105764066551} is an apocalyptic number.

58105764066551 is a deficient number, since it is larger than the sum of its proper divisors (2498683745929).

58105764066551 is a wasteful number, since it uses less digits than its factorization.

58105764066551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755806.

The product of its (nonzero) digits is 30240000, while the sum is 59.

The spelling of 58105764066551 in words is "fifty-eight trillion, one hundred five billion, seven hundred sixty-four million, sixty-six thousand, five hundred fifty-one".