16587141120 has 728 divisors, whose sum is σ = 65749091472. Its totient is φ = 3981312000.

The previous prime is 16587141061. The next prime is 16587141121. The reversal of 16587141120 is 2114178561.

16587141120 is a `hidden beast` number, since 16 + 587 + 1 + 41 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16587141121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164229070 + ... + 164229170.

Almost surely, 2^16587141120 is an apocalyptic number.

16587141120 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 16587141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32874545736).

16587141120 is an abundant number, since it is smaller than the sum of its proper divisors (49161950352).

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

16587141120 is an equidigital number, since it uses as much as digits as its factorization.

16587141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 16587141120 in words is "sixteen billion, five hundred eighty-seven million, one hundred forty-one thousand, one hundred twenty".