21806363478900 has 1728 divisors, whose sum is σ = 87630751272960. Its totient is φ = 4115059200000.

The previous prime is 21806363478899. The next prime is 21806363478901. The reversal of 21806363478900 is 987436360812.

It is an interprime number because it is at equal distance from previous prime (21806363478899) and next prime (21806363478901).

It is a super-3 number, since 3×21806363478900³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21806363478901) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 57536578911 + ... + 57536579289.

It is an arithmetic number, because the mean of its divisors is an integer number (50712240320).

Almost surely, 2^{21806363478900} is an apocalyptic number.

21806363478900 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 21806363478900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43815375636480).

21806363478900 is an abundant number, since it is smaller than the sum of its proper divisors (65824387794060).

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

21806363478900 is a wasteful number, since it uses less digits than its factorization.

21806363478900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 21806363478900 in words is "twenty-one trillion, eight hundred six billion, three hundred sixty-three million, four hundred seventy-eight thousand, nine hundred".