220965249576960 has 2912 divisors, whose sum is σ = 933915565642752. Its totient is φ = 49121108951040.

The previous prime is 220965249576959. The next prime is 220965249576979. The reversal of 220965249576960 is 69675942569022.

It is a happy number.

220965249576960 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 5 + 2 + 49 + 576 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 719756513127 + ... + 719756513433.

Almost surely, 2^{220965249576960} is an apocalyptic number.

220965249576960 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 220965249576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466957782821376).

220965249576960 is an abundant number, since it is smaller than the sum of its proper divisors (712950316065792).

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

220965249576960 is an frugal number, since it uses more digits than its factorization.

220965249576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 220965249576960 in words is "two hundred twenty trillion, nine hundred sixty-five billion, two hundred forty-nine million, five hundred seventy-six thousand, nine hundred sixty".