221061056452600 has 384 divisors, whose sum is σ = 638628825139200. Its totient is φ = 69292894003200.

The previous prime is 221061056452559. The next prime is 221061056452609. The reversal of 221061056452600 is 6254650160122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221061056452609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11370858880 + ... + 11370878320.

It is an arithmetic number, because the mean of its divisors is an integer number (1663095898800).

Almost surely, 2^{221061056452600} is an apocalyptic number.

221061056452600 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 221061056452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319314412569600).

221061056452600 is an abundant number, since it is smaller than the sum of its proper divisors (417567768686600).

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

221061056452600 is a wasteful number, since it uses less digits than its factorization.

221061056452600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25423 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 221061056452600 in words is "two hundred twenty-one trillion, sixty-one billion, fifty-six million, four hundred fifty-two thousand, six hundred".