16512640000 has 110 divisors (see below), whose sum is σ = 41249838014. Its totient is φ = 6604800000.

The previous prime is 16512639989. The next prime is 16512640013. The reversal of 16512640000 is 4621561.

It can be written as a sum of positive squares in 5 ways, for example, as 6313255936 + 10199384064 = 79456^2 + 100992^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 627100 + ... + 652900.

Almost surely, 2^16512640000 is an apocalyptic number.

16512640000 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 16512640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624919007).

16512640000 is an abundant number, since it is smaller than the sum of its proper divisors (24737198014).

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

16512640000 is an frugal number, since it uses more digits than its factorization.

16512640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25841 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 16512640000 in words is "sixteen billion, five hundred twelve million, six hundred forty thousand".