21038000208 has 160 divisors (see below), whose sum is σ = 59532475392. Its totient is φ = 6373171200.

The previous prime is 21038000197. The next prime is 21038000219. The reversal of 21038000208 is 80200083012.

It is an interprime number because it is at equal distance from previous prime (21038000197) and next prime (21038000219).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 20767510 + ... + 20768522.

Almost surely, 2^21038000208 is an apocalyptic number.

21038000208 is the 83742-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21038000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766237696).

21038000208 is an abundant number, since it is smaller than the sum of its proper divisors (38494475184).

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

21038000208 is a wasteful number, since it uses less digits than its factorization.

21038000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 21038000208 in words is "twenty-one billion, thirty-eight million, two hundred eight", and thus it is an aban number.