16381107680 has 288 divisors, whose sum is σ = 46668636000. Its totient is φ = 5413588992.

The previous prime is 16381107661. The next prime is 16381107727. The reversal of 16381107680 is 8670118361.

It is a congruent number.

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, 43221731 + ... + 43222109.

It is an arithmetic number, because the mean of its divisors is an integer number (162043875).

Almost surely, 2^16381107680 is an apocalyptic number.

16381107680 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 16381107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334318000).

16381107680 is an abundant number, since it is smaller than the sum of its proper divisors (30287528320).

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

16381107680 is a wasteful number, since it uses less digits than its factorization.

16381107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 16381107680 in words is "sixteen billion, three hundred eighty-one million, one hundred seven thousand, six hundred eighty".