220007001600 has 180 divisors, whose sum is σ = 787344739896. Its totient is φ = 58668503040.

The previous prime is 220007001583. The next prime is 220007001601. The reversal of 220007001600 is 6100700022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220007001601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839692 + ... + 1070091.

Almost surely, 2^220007001600 is an apocalyptic number.

220007001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220007001600 is an abundant number, since it is smaller than the sum of its proper divisors (567337738296).

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

220007001600 is a wasteful number, since it uses less digits than its factorization.

220007001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909817 (or 1909793 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 220007001600 its reverse (6100700022), we get a palindrome (226107701622).

The spelling of 220007001600 in words is "two hundred twenty billion, seven million, one thousand, six hundred".