221912219086560 has 960 divisors, whose sum is σ = 847008629913600. Its totient is φ = 54524715798528.

The previous prime is 221912219086559. The next prime is 221912219086561. The reversal of 221912219086560 is 65680912219122.

221912219086560 is a `hidden beast` number, since 2 + 219 + 1 + 221 + 90 + 8 + 65 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (221912219086559) and next prime (221912219086561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 221912219086497 and 221912219086506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221912219086561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42848466051 + ... + 42848471229.

It is an arithmetic number, because the mean of its divisors is an integer number (882300656160).

Almost surely, 2^{221912219086560} is an apocalyptic number.

221912219086560 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 221912219086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423504314956800).

221912219086560 is an abundant number, since it is smaller than the sum of its proper divisors (625096410827040).

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

221912219086560 is a wasteful number, since it uses less digits than its factorization.

221912219086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 221912219086560 in words is "two hundred twenty-one trillion, nine hundred twelve billion, two hundred nineteen million, eighty-six thousand, five hundred sixty".