16788384900 has 243 divisors, whose sum is σ = 61313021679. Its totient is φ = 3831125760.

The previous prime is 16788384881. The next prime is 16788384919. The reversal of 16788384900 is 948388761.

The square root of 16788384900 is 129570.

It is a perfect power (a square), and thus also a powerful number.

16788384900 is a `hidden beast` number, since 1 + 6 + 78 + 83 + 8 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16788384881) and next prime (16788384919).

It can be written as a sum of positive squares in 4 ways, for example, as 7905699396 + 8882685504 = 88914^2 + 94248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27209392 + ... + 27210008.

Almost surely, 2^16788384900 is an apocalyptic number.

16788384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16788384900 is the 129570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16788384900

16788384900 is an abundant number, since it is smaller than the sum of its proper divisors (44524636779).

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

16788384900 is a wasteful number, since it uses less digits than its factorization.

16788384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 16788384900 in words is "sixteen billion, seven hundred eighty-eight million, three hundred eighty-four thousand, nine hundred".