21202648896 has 448 divisors, whose sum is σ = 70460006400. Its totient is φ = 5535129600.

The previous prime is 21202648849. The next prime is 21202648913. The reversal of 21202648896 is 69884620212.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24682515 + ... + 24683373.

It is an arithmetic number, because the mean of its divisors is an integer number (157276800).

Almost surely, 2^21202648896 is an apocalyptic number.

21202648896 is a gapful number since it is divisible by the number (26) 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 21202648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230003200).

21202648896 is an abundant number, since it is smaller than the sum of its proper divisors (49257357504).

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

21202648896 is a wasteful number, since it uses less digits than its factorization.

21202648896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 21202648896 in words is "twenty-one billion, two hundred two million, six hundred forty-eight thousand, eight hundred ninety-six".