21998006807000 has 256 divisors, whose sum is σ = 60645674419200. Its totient is φ = 7312763980800.

The previous prime is 21998006806939. The next prime is 21998006807039. The reversal of 21998006807000 is 70860089912.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 21998006807000.

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, 29784179 + ... + 30513821.

It is an arithmetic number, because the mean of its divisors is an integer number (236897165700).

Almost surely, 2^{21998006807000} is an apocalyptic number.

21998006807000 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 21998006807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30322837209600).

21998006807000 is an abundant number, since it is smaller than the sum of its proper divisors (38647667612200).

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

21998006807000 is a wasteful number, since it uses less digits than its factorization.

21998006807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729803 (or 729789 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 21998006807000 in words is "twenty-one trillion, nine hundred ninety-eight billion, six million, eight hundred seven thousand".