16638089760 has 288 divisors, whose sum is σ = 58482103680. Its totient is φ = 4305014784.

The previous prime is 16638089753. The next prime is 16638089813. The reversal of 16638089760 is 6798083661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 16638089697 and 16638089706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10339836 + ... + 10341444.

It is an arithmetic number, because the mean of its divisors is an integer number (203062860).

Almost surely, 2^16638089760 is an apocalyptic number.

16638089760 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 16638089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29241051840).

16638089760 is an abundant number, since it is smaller than the sum of its proper divisors (41844013920).

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

16638089760 is a wasteful number, since it uses less digits than its factorization.

16638089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16638089760 in words is "sixteen billion, six hundred thirty-eight million, eighty-nine thousand, seven hundred sixty".