21824140800 has 960 divisors, whose sum is σ = 92112818688. Its totient is φ = 4460544000.

The previous prime is 21824140799. The next prime is 21824140873. The reversal of 21824140800 is 804142812.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 357772770 + ... + 357772830.

Almost surely, 2^21824140800 is an apocalyptic number.

21824140800 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 21824140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46056409344).

21824140800 is an abundant number, since it is smaller than the sum of its proper divisors (70288677888).

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

21824140800 is an equidigital number, since it uses as much as digits as its factorization.

21824140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 21824140800 in words is "twenty-one billion, eight hundred twenty-four million, one hundred forty thousand, eight hundred".