58008891610080 has 672 divisors, whose sum is σ = 210611346347808. Its totient is φ = 15082802380800.

The previous prime is 58008891610069. The next prime is 58008891610127. The reversal of 58008891610080 is 8001619880085.

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

It is a junction number, because it is equal to n+sod(n) for n = 58008891609999 and 58008891610026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12945521440 + ... + 12945525920.

It is an arithmetic number, because the mean of its divisors is an integer number (313409741589).

Almost surely, 2^{58008891610080} 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 58008891610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105305673173904).

58008891610080 is an abundant number, since it is smaller than the sum of its proper divisors (152602454737728).

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

58008891610080 is a wasteful number, since it uses less digits than its factorization.

58008891610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 58008891610080 in words is "fifty-eight trillion, eight billion, eight hundred ninety-one million, six hundred ten thousand, eighty".