220832801280 has 1920 divisors, whose sum is σ = 1008943423488. Its totient is φ = 45052526592.

The previous prime is 220832801257. The next prime is 220832801303. The reversal of 220832801280 is 82108238022.

220832801280 is a `hidden beast` number, since 2 + 20 + 83 + 280 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (220832801257) and next prime (220832801303).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×220832801280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2660636119 + ... + 2660636201.

Almost surely, 2^220832801280 is an apocalyptic number.

220832801280 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 220832801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504471711744).

220832801280 is an abundant number, since it is smaller than the sum of its proper divisors (788110622208).

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

220832801280 is an equidigital number, since it uses as much as digits as its factorization.

220832801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 220832801280 in words is "two hundred twenty billion, eight hundred thirty-two million, eight hundred one thousand, two hundred eighty".