16877268900 has 162 divisors, whose sum is σ = 55302460850. Its totient is φ = 4304805120.

The previous prime is 16877268893. The next prime is 16877268913. The reversal of 16877268900 is 986277861.

It can be written as a sum of positive squares in 3 ways, for example, as 512207424 + 16365061476 = 22632^2 + 127926^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 458376 + ... + 493824.

Almost surely, 2^16877268900 is an apocalyptic number.

16877268900 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 16877268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651230425).

16877268900 is an abundant number, since it is smaller than the sum of its proper divisors (38425191950).

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

16877268900 is a wasteful number, since it uses less digits than its factorization.

16877268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35515 (or 35482 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 16877268900 in words is "sixteen billion, eight hundred seventy-seven million, two hundred sixty-eight thousand, nine hundred".