221195736852480 has 2880 divisors, whose sum is σ = 896251990233600. Its totient is φ = 52096582287360.

The previous prime is 221195736852443. The next prime is 221195736852523. The reversal of 221195736852480 is 84258637591122.

It is a happy number.

221195736852480 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 9 + 5 + 73 + 6 + 85 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 473652541207 + ... + 473652541673.

It is an arithmetic number, because the mean of its divisors is an integer number (311198607720).

It is a 1-persistent number, because it is pandigital, but 2⋅221195736852480 = 442391473704960 is not.

Almost surely, 2^{221195736852480} is an apocalyptic number.

221195736852480 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 221195736852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448125995116800).

221195736852480 is an abundant number, since it is smaller than the sum of its proper divisors (675056253381120).

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

221195736852480 is a wasteful number, since it uses less digits than its factorization.

221195736852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 221195736852480 in words is "two hundred twenty-one trillion, one hundred ninety-five billion, seven hundred thirty-six million, eight hundred fifty-two thousand, four hundred eighty".