21914620800 has 192 divisors, whose sum is σ = 75320357760. Its totient is φ = 5589760000.

The previous prime is 21914620799. The next prime is 21914620807. The reversal of 21914620800 is 802641912.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21914620807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171175 + ... + 270425.

It is an arithmetic number, because the mean of its divisors is an integer number (392293530).

Almost surely, 2^21914620800 is an apocalyptic number.

21914620800 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 21914620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37660178880).

21914620800 is an abundant number, since it is smaller than the sum of its proper divisors (53405736960).

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

21914620800 is a wasteful number, since it uses less digits than its factorization.

21914620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99301 (or 99284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 21914620800 in words is "twenty-one billion, nine hundred fourteen million, six hundred twenty thousand, eight hundred".