58987399680 has 480 divisors, whose sum is σ = 235988520768. Its totient is φ = 13457817600.

The previous prime is 58987399661. The next prime is 58987399687. The reversal of 58987399680 is 8699378985.

58987399680 is a `hidden beast` number, since 5 + 89 + 87 + 399 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58987399599 and 58987399608.

It is not an unprimeable number, because it can be changed into a prime (58987399687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4301635 + ... + 4315325.

Almost surely, 2^58987399680 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 58987399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117994260384).

58987399680 is an abundant number, since it is smaller than the sum of its proper divisors (177001121088).

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

58987399680 is a wasteful number, since it uses less digits than its factorization.

58987399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 58987399680 in words is "fifty-eight billion, nine hundred eighty-seven million, three hundred ninety-nine thousand, six hundred eighty".