16978090000 has 75 divisors (see below), whose sum is σ = 41137224843. Its totient is φ = 6786024000.

The previous prime is 16978089971. The next prime is 16978090027. The reversal of 16978090000 is 9087961.

The square root of 16978090000 is 130300.

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

16978090000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1331082256 + 15647007744 = 36484^2 + 125088^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13029349 + ... + 13030651.

Almost surely, 2^16978090000 is an apocalyptic number.

16978090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16978090000 is the 130300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16978090000

16978090000 is an abundant number, since it is smaller than the sum of its proper divisors (24159134843).

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

16978090000 is an frugal number, since it uses more digits than its factorization.

16978090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 16978090000 in words is "sixteen billion, nine hundred seventy-eight million, ninety thousand".