16182516480 has 288 divisors, whose sum is σ = 56000367360. Its totient is φ = 3958947840.

The previous prime is 16182516473. The next prime is 16182516481. The reversal of 16182516480 is 8461528161.

It is a super-3 number, since 3×16182516480³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16182516481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8934775 + ... + 8936585.

It is an arithmetic number, because the mean of its divisors is an integer number (194445720).

Almost surely, 2^16182516480 is an apocalyptic number.

16182516480 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 16182516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28000183680).

16182516480 is an abundant number, since it is smaller than the sum of its proper divisors (39817850880).

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

16182516480 is a wasteful number, since it uses less digits than its factorization.

16182516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 16182516480 in words is "sixteen billion, one hundred eighty-two million, five hundred sixteen thousand, four hundred eighty".