18358591680 has 1008 divisors, whose sum is σ = 77964816384. Its totient is φ = 4075868160.

The previous prime is 18358591639. The next prime is 18358591709. The reversal of 18358591680 is 8619585381.

18358591680 is a `hidden beast` number, since 18 + 35 + 8 + 591 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144555777 + ... + 144555903.

It is an arithmetic number, because the mean of its divisors is an integer number (77346048).

Almost surely, 2^18358591680 is an apocalyptic number.

18358591680 is a gapful number since it is divisible by the number (10) 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 18358591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38982408192).

18358591680 is an abundant number, since it is smaller than the sum of its proper divisors (59606224704).

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

18358591680 is a wasteful number, since it uses less digits than its factorization.

18358591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 18358591680 in words is "eighteen billion, three hundred fifty-eight million, five hundred ninety-one thousand, six hundred eighty".