58085873664 has 384 divisors, whose sum is σ = 198925009920. Its totient is φ = 14650048512.

The previous prime is 58085873591. The next prime is 58085873689. The reversal of 58085873664 is 46637858085.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×58085873664⁴ (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58085873598 and 58085873607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12857134 + ... + 12861650.

It is an arithmetic number, because the mean of its divisors is an integer number (518033880).

Almost surely, 2^58085873664 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 58085873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99462504960).

58085873664 is an abundant number, since it is smaller than the sum of its proper divisors (140839136256).

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

58085873664 is a wasteful number, since it uses less digits than its factorization.

58085873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 58085873664 in words is "fifty-eight billion, eighty-five million, eight hundred seventy-three thousand, six hundred sixty-four".