221430561540300 has 360 divisors, whose sum is σ = 820385786220000. Its totient is φ = 50609374387200.

The previous prime is 221430561540299. The next prime is 221430561540313. The reversal of 221430561540300 is 3045165034122.

221430561540300 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 0 + 5 + 615 + 4 + 0 + 30 + 0 = 666.

221430561540300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 921198130 + ... + 921438470.

Almost surely, 2^{221430561540300} is an apocalyptic number.

221430561540300 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 221430561540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410192893110000).

221430561540300 is an abundant number, since it is smaller than the sum of its proper divisors (598955224679700).

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

221430561540300 is a wasteful number, since it uses less digits than its factorization.

221430561540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256623 (or 256607 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 221430561540300 in words is "two hundred twenty-one trillion, four hundred thirty billion, five hundred sixty-one million, five hundred forty thousand, three hundred".