21049210800 has 600 divisors, whose sum is σ = 82159503360. Its totient is φ = 5141491200.

The previous prime is 21049210729. The next prime is 21049210801. The reversal of 21049210800 is 801294012.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21049210801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19083049 + ... + 19084151.

Almost surely, 2^21049210800 is an apocalyptic number.

21049210800 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 21049210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41079751680).

21049210800 is an abundant number, since it is smaller than the sum of its proper divisors (61110292560).

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

21049210800 is a wasteful number, since it uses less digits than its factorization.

21049210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21049210800 in words is "twenty-one billion, forty-nine million, two hundred ten thousand, eight hundred".