21200763000 has 256 divisors, whose sum is σ = 68200704000. Its totient is φ = 5480025600.

The previous prime is 21200762993. The next prime is 21200763007. The reversal of 21200763000 is 36700212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21200762993) and next prime (21200763007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200763007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19220449 + ... + 19221551.

It is an arithmetic number, because the mean of its divisors is an integer number (266409000).

Almost surely, 2^21200763000 is an apocalyptic number.

21200763000 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 21200763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100352000).

21200763000 is an abundant number, since it is smaller than the sum of its proper divisors (46999941000).

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

21200763000 is a wasteful number, since it uses less digits than its factorization.

21200763000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 21200763000 in words is "twenty-one billion, two hundred million, seven hundred sixty-three thousand".