220961228140800 has 7776 divisors, whose sum is σ = 1090445087047680. Its totient is φ = 43843800268800.

The previous prime is 220961228140759. The next prime is 220961228140813. The reversal of 220961228140800 is 8041822169022.

220961228140800 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 612 + 28 + 1 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1156865068705 + ... + 1156865068895.

It is an arithmetic number, because the mean of its divisors is an integer number (140232135680).

Almost surely, 2^{220961228140800} is an apocalyptic number.

220961228140800 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 220961228140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545222543523840).

220961228140800 is an abundant number, since it is smaller than the sum of its proper divisors (869483858906880).

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

220961228140800 is a wasteful number, since it uses less digits than its factorization.

220961228140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 220961228140800 in words is "two hundred twenty trillion, nine hundred sixty-one billion, two hundred twenty-eight million, one hundred forty thousand, eight hundred".