220819996800 has 1080 divisors, whose sum is σ = 894981641895. Its totient is φ = 53590118400.

The previous prime is 220819996721. The next prime is 220819996811. The reversal of 220819996800 is 8699918022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13824115776 + 206995881024 = 117576^2 + 454968^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332280.

It is a super-2 number, since 2×220819996800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3110140765 + ... + 3110140835.

Almost surely, 2^220819996800 is an apocalyptic number.

220819996800 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 220819996800

220819996800 is an abundant number, since it is smaller than the sum of its proper divisors (674161645095).

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

220819996800 is an equidigital number, since it uses as much as digits as its factorization.

220819996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 220819996800 in words is "two hundred twenty billion, eight hundred nineteen million, nine hundred ninety-six thousand, eight hundred".