221009202874800 has 960 divisors, whose sum is σ = 854422338470400. Its totient is φ = 54074212761600.

The previous prime is 221009202874727. The next prime is 221009202874849. The reversal of 221009202874800 is 8478202900122.

It is a happy number.

221009202874800 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 0 + 92 + 0 + 2 + 87 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1152512527 + ... + 1152704273.

It is an arithmetic number, because the mean of its divisors is an integer number (890023269240).

Almost surely, 2^{221009202874800} is an apocalyptic number.

221009202874800 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 221009202874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427211169235200).

221009202874800 is an abundant number, since it is smaller than the sum of its proper divisors (633413135595600).

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

221009202874800 is a wasteful number, since it uses less digits than its factorization.

221009202874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191971 (or 191954 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 221009202874800 in words is "two hundred twenty-one trillion, nine billion, two hundred two million, eight hundred seventy-four thousand, eight hundred".