58418260391712 has 768 divisors, whose sum is σ = 183522495744000. Its totient is φ = 16097042497536.

The previous prime is 58418260391597. The next prime is 58418260391717. The reversal of 58418260391712 is 21719306281485.

It is not an unprimeable number, because it can be changed into a prime (58418260391717) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41460794464 + ... + 41460795872.

It is an arithmetic number, because the mean of its divisors is an integer number (238961583000).

It is a 1-persistent number, because it is pandigital, but 2⋅58418260391712 = 116836520783424 is not.

Almost surely, 2^{58418260391712} is an apocalyptic number.

58418260391712 is a gapful number since it is divisible by the number (52) 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 58418260391712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91761247872000).

58418260391712 is an abundant number, since it is smaller than the sum of its proper divisors (125104235352288).

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

58418260391712 is a wasteful number, since it uses less digits than its factorization.

58418260391712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 58418260391712 in words is "fifty-eight trillion, four hundred eighteen billion, two hundred sixty million, three hundred ninety-one thousand, seven hundred twelve".