16210801728 has 672 divisors, whose sum is σ = 56299729920. Its totient is φ = 4561920000.

The previous prime is 16210801693. The next prime is 16210801751. The reversal of 16210801728 is 82710801261.

16210801728 is a `hidden beast` number, since 1 + 621 + 0 + 8 + 0 + 1 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16210801692 and 16210801701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265750818 + ... + 265750878.

It is an arithmetic number, because the mean of its divisors is an integer number (83779360).

Almost surely, 2^16210801728 is an apocalyptic number.

16210801728 is a gapful number since it is divisible by the number (18) 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 16210801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149864960).

16210801728 is an abundant number, since it is smaller than the sum of its proper divisors (40088928192).

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

16210801728 is a wasteful number, since it uses less digits than its factorization.

16210801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

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

The spelling of 16210801728 in words is "sixteen billion, two hundred ten million, eight hundred one thousand, seven hundred twenty-eight".