220086028281600 has 1728 divisors, whose sum is σ = 891167841607680. Its totient is φ = 52809537945600.

The previous prime is 220086028281589. The next prime is 220086028281611. The reversal of 220086028281600 is 6182820680022.

220086028281600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 602 + 8 + 28 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220086028281589) and next prime (220086028281611).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27134261545 + ... + 27134269655.

It is an arithmetic number, because the mean of its divisors is an integer number (515722130560).

Almost surely, 2^{220086028281600} is an apocalyptic number.

220086028281600 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 220086028281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445583920803840).

220086028281600 is an abundant number, since it is smaller than the sum of its proper divisors (671081813326080).

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

220086028281600 is a wasteful number, since it uses less digits than its factorization.

220086028281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 220086028281600 in words is "two hundred twenty trillion, eighty-six billion, twenty-eight million, two hundred eighty-one thousand, six hundred".