16510728960 has 720 divisors, whose sum is σ = 66670636032. Its totient is φ = 3865190400.

The previous prime is 16510728959. The next prime is 16510728973. The reversal of 16510728960 is 6982701561.

16510728960 is a `hidden beast` number, since 1 + 6 + 510 + 72 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35354647 + ... + 35355113.

Almost surely, 2^16510728960 is an apocalyptic number.

16510728960 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 16510728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33335318016).

16510728960 is an abundant number, since it is smaller than the sum of its proper divisors (50159907072).

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

16510728960 is a wasteful number, since it uses less digits than its factorization.

16510728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 16510728960 in words is "sixteen billion, five hundred ten million, seven hundred twenty-eight thousand, nine hundred sixty".