21202496000 has 240 divisors, whose sum is σ = 61510641192. Its totient is φ = 7268352000.

The previous prime is 21202495981. The next prime is 21202496041. The reversal of 21202496000 is 69420212.

It can be written as a sum of positive squares in 4 ways, for example, as 9472739584 + 11729756416 = 97328^2 + 108304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132620 + ... + 3139380.

Almost surely, 2^21202496000 is an apocalyptic number.

21202496000 is a gapful number since it is divisible by the number (20) 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 21202496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30755320596).

21202496000 is an abundant number, since it is smaller than the sum of its proper divisors (40308145192).

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

21202496000 is an frugal number, since it uses more digits than its factorization.

21202496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 21202496000 in words is "twenty-one billion, two hundred two million, four hundred ninety-six thousand".