220960612768896 has 2560 divisors, whose sum is σ = 896034555440640. Its totient is φ = 52195000320000.

The previous prime is 220960612768879. The next prime is 220960612768921. The reversal of 220960612768896 is 698867216069022.

It is a happy number.

220960612768896 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 606 + 1 + 2 + 7 + 6 + 8 + 8 + 9 + 6 = 666.

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

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, 290355601156 + ... + 290355601916.

It is an arithmetic number, because the mean of its divisors is an integer number (350013498219).

Almost surely, 2^{220960612768896} is an apocalyptic number.

220960612768896 is a gapful number since it is divisible by the number (26) 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 220960612768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448017277720320).

220960612768896 is an abundant number, since it is smaller than the sum of its proper divisors (675073942671744).

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

220960612768896 is a wasteful number, since it uses less digits than its factorization.

220960612768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 220960612768896 in words is "two hundred twenty trillion, nine hundred sixty billion, six hundred twelve million, seven hundred sixty-eight thousand, eight hundred ninety-six".