221264428053200 has 120 divisors (see below), whose sum is σ = 607619614974720. Its totient is φ = 75850762176000.

The previous prime is 221264428053199. The next prime is 221264428053217. The reversal of 221264428053200 is 2350824462122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12866441 + ... + 24659159.

It is an arithmetic number, because the mean of its divisors is an integer number (5063496791456).

Almost surely, 2^{221264428053200} is an apocalyptic number.

221264428053200 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 221264428053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303809807487360).

221264428053200 is an abundant number, since it is smaller than the sum of its proper divisors (386355186921520).

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

221264428053200 is a wasteful number, since it uses less digits than its factorization.

221264428053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799445 (or 11799434 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 221264428053200 in words is "two hundred twenty-one trillion, two hundred sixty-four billion, four hundred twenty-eight million, fifty-three thousand, two hundred".