21798202291200 has 2112 divisors, whose sum is σ = 89916030720000. Its totient is φ = 5142581084160.

The previous prime is 21798202291189. The next prime is 21798202291211. The reversal of 21798202291200 is 219220289712.

21798202291200 is a `hidden beast` number, since 217 + 9 + 8 + 2 + 0 + 229 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (21798202291189) and next prime (21798202291211).

It is a super-3 number, since 3×21798202291200³ (a number of 41 digits) contains 333 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36390988501 + ... + 36390989099.

Almost surely, 2^{21798202291200} is an apocalyptic number.

21798202291200 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 21798202291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44958015360000).

21798202291200 is an abundant number, since it is smaller than the sum of its proper divisors (68117828428800).

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

21798202291200 is a wasteful number, since it uses less digits than its factorization.

21798202291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21798202291200 in words is "twenty-one trillion, seven hundred ninety-eight billion, two hundred two million, two hundred ninety-one thousand, two hundred".