58001287680 has 800 divisors, whose sum is σ = 245268587520. Its totient is φ = 12819824640.

The previous prime is 58001287657. The next prime is 58001287699. The reversal of 58001287680 is 8678210085.

58001287680 is a `hidden beast` number, since 580 + 0 + 1 + 2 + 8 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996476 + ... + 44997764.

Almost surely, 2^58001287680 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 58001287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122634293760).

58001287680 is an abundant number, since it is smaller than the sum of its proper divisors (187267299840).

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

58001287680 is a wasteful number, since it uses less digits than its factorization.

58001287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 58001287680 in words is "fifty-eight billion, one million, two hundred eighty-seven thousand, six hundred eighty".