21914020800 has 336 divisors, whose sum is σ = 91298085120. Its totient is φ = 5008849920.

The previous prime is 21914020789. The next prime is 21914020847. The reversal of 21914020800 is 802041912.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266167 + ... + 338633.

Almost surely, 2^21914020800 is an apocalyptic number.

21914020800 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 21914020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45649042560).

21914020800 is an abundant number, since it is smaller than the sum of its proper divisors (69384064320).

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

21914020800 is a wasteful number, since it uses less digits than its factorization.

21914020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72505 (or 72484 counting only the distinct ones).

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

The spelling of 21914020800 in words is "twenty-one billion, nine hundred fourteen million, twenty thousand, eight hundred".