21988075200 has 672 divisors, whose sum is σ = 90164229120. Its totient is φ = 4567449600.

The previous prime is 21988075171. The next prime is 21988075231. The reversal of 21988075200 is 257088912.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31012446 + ... + 31013154.

It is an arithmetic number, because the mean of its divisors is an integer number (134172960).

Almost surely, 2^21988075200 is an apocalyptic number.

21988075200 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 21988075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45082114560).

21988075200 is an abundant number, since it is smaller than the sum of its proper divisors (68176153920).

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

21988075200 is a wasteful number, since it uses less digits than its factorization.

21988075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 21988075200 in words is "twenty-one billion, nine hundred eighty-eight million, seventy-five thousand, two hundred".