21998592000 has 1344 divisors, whose sum is σ = 102066352128. Its totient is φ = 4423680000.

The previous prime is 21998591963. The next prime is 21998592041. The reversal of 21998592000 is 29589912.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 709631985 + ... + 709632015.

Almost surely, 2^21998592000 is an apocalyptic number.

21998592000 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 21998592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51033176064).

21998592000 is an abundant number, since it is smaller than the sum of its proper divisors (80067760128).

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

21998592000 is a wasteful number, since it uses less digits than its factorization.

21998592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 21998592000 in words is "twenty-one billion, nine hundred ninety-eight million, five hundred ninety-two thousand".