58001728787145 has 192 divisors, whose sum is σ = 119036254821120. Its totient is φ = 25756351488000.

The previous prime is 58001728787129. The next prime is 58001728787161. The reversal of 58001728787145 is 54178782710085.

58001728787145 is a `hidden beast` number, since 580 + 0 + 1 + 7 + 2 + 8 + 7 + 8 + 7 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (58001728787129) and next prime (58001728787161).

It is not a de Polignac number, because 58001728787145 - 2⁴ = 58001728787129 is a prime.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 630345901 + ... + 630437909.

It is an arithmetic number, because the mean of its divisors is an integer number (619980493860).

Almost surely, 2^{58001728787145} is an apocalyptic number.

58001728787145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58001728787145 is an abundant number, since it is smaller than the sum of its proper divisors (61034526033975).

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

58001728787145 is a wasteful number, since it uses less digits than its factorization.

58001728787145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92808 (or 92805 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 63.

The spelling of 58001728787145 in words is "fifty-eight trillion, one billion, seven hundred twenty-eight million, seven hundred eighty-seven thousand, one hundred forty-five".