21820858207200 has 1728 divisors, whose sum is σ = 87279338764800. Its totient is φ = 5288008458240.

The previous prime is 21820858207157. The next prime is 21820858207217. The reversal of 21820858207200 is 270285802812.

21820858207200 is a `hidden beast` number, since 21 + 8 + 20 + 8 + 582 + 0 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×21820858207200² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62884317427 + ... + 62884317773.

It is an arithmetic number, because the mean of its divisors is an integer number (50508876600).

Almost surely, 2^{21820858207200} is an apocalyptic number.

21820858207200 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 21820858207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43639669382400).

21820858207200 is an abundant number, since it is smaller than the sum of its proper divisors (65458480557600).

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

21820858207200 is a wasteful number, since it uses less digits than its factorization.

21820858207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 21820858207200 in words is "twenty-one trillion, eight hundred twenty billion, eight hundred fifty-eight million, two hundred seven thousand, two hundred".