58947091906560 has 1920 divisors, whose sum is σ = 232761870286848. Its totient is φ = 12542017536000.

The previous prime is 58947091906523. The next prime is 58947091906589. The reversal of 58947091906560 is 6560919074985.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66456698437 + ... + 66456699323.

Almost surely, 2^{58947091906560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58947091906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116380935143424).

58947091906560 is an abundant number, since it is smaller than the sum of its proper divisors (173814778380288).

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

58947091906560 is a wasteful number, since it uses less digits than its factorization.

58947091906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 58947091906560 in words is "fifty-eight trillion, nine hundred forty-seven billion, ninety-one million, nine hundred six thousand, five hundred sixty".