16801182720 has 528 divisors, whose sum is σ = 67953849600. Its totient is φ = 3836657664.

The previous prime is 16801182677. The next prime is 16801182757. The reversal of 16801182720 is 2728110861.

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

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, 15804909 + ... + 15805971.

Almost surely, 2^16801182720 is an apocalyptic number.

16801182720 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 16801182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976924800).

16801182720 is an abundant number, since it is smaller than the sum of its proper divisors (51152666880).

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

16801182720 is a wasteful number, since it uses less digits than its factorization.

16801182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 16801182720 in words is "sixteen billion, eight hundred one million, one hundred eighty-two thousand, seven hundred twenty".