58031867664 has 160 divisors (see below), whose sum is σ = 168194175360. Its totient is φ = 19156580352.

The previous prime is 58031867659. The next prime is 58031867671. The reversal of 58031867664 is 46676813085.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 58031867664.

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, 22038892 + ... + 22041524.

It is an arithmetic number, because the mean of its divisors is an integer number (1051213596).

Almost surely, 2^58031867664 is an apocalyptic number.

58031867664 is a gapful number since it is divisible by the number (54) 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 58031867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84097087680).

58031867664 is an abundant number, since it is smaller than the sum of its proper divisors (110162307696).

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

58031867664 is a wasteful number, since it uses less digits than its factorization.

58031867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 58031867664 in words is "fifty-eight billion, thirty-one million, eight hundred sixty-seven thousand, six hundred sixty-four".