21445715200 has 432 divisors, whose sum is σ = 68214134016. Its totient is φ = 6488064000.

The previous prime is 21445715197. The next prime is 21445715201. The reversal of 21445715200 is 251754412.

It is a super-2 number, since 2×21445715200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21445715201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13394400 + ... + 13396000.

It is an arithmetic number, because the mean of its divisors is an integer number (157903088).

Almost surely, 2^21445715200 is an apocalyptic number.

21445715200 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 21445715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34107067008).

21445715200 is an abundant number, since it is smaller than the sum of its proper divisors (46768418816).

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

21445715200 is a wasteful number, since it uses less digits than its factorization.

21445715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The spelling of 21445715200 in words is "twenty-one billion, four hundred forty-five million, seven hundred fifteen thousand, two hundred".