16887813120 has 440 divisors, whose sum is σ = 61989120864. Its totient is φ = 4394041344.

The previous prime is 16887813031. The next prime is 16887813169. The reversal of 16887813120 is 2131878861.

It is a happy number.

It is a super-3 number, since 3×16887813120³ (a number of 32 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 17832487 + ... + 17833433.

Almost surely, 2^16887813120 is an apocalyptic number.

16887813120 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 16887813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30994560432).

16887813120 is an abundant number, since it is smaller than the sum of its proper divisors (45101307744).

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

16887813120 is an equidigital number, since it uses as much as digits as its factorization.

16887813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 16887813120 in words is "sixteen billion, eight hundred eighty-seven million, eight hundred thirteen thousand, one hundred twenty".