221216253153210 has 640 divisors, whose sum is σ = 695761623820800. Its totient is φ = 50008333132800.

The previous prime is 221216253153127. The next prime is 221216253153241. The reversal of 221216253153210 is 12351352612122.

221216253153210 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 62 + 53 + 1 + 532 + 10 = 666.

It is a super-3 number, since 3×221216253153210³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108492521371 + ... + 108492523409.

It is an arithmetic number, because the mean of its divisors is an integer number (1087127537220).

Almost surely, 2^{221216253153210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221216253153210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347880811910400).

221216253153210 is an abundant number, since it is smaller than the sum of its proper divisors (474545370667590).

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

221216253153210 is a wasteful number, since it uses less digits than its factorization.

221216253153210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 221216253153210 in words is "two hundred twenty-one trillion, two hundred sixteen billion, two hundred fifty-three million, one hundred fifty-three thousand, two hundred ten".