220078080000 has 680 divisors, whose sum is σ = 818931608000. Its totient is φ = 58392576000.

The previous prime is 220078079983. The next prime is 220078080007. The reversal of 220078080000 is 80870022.

It is a super-2 number, since 2×220078080000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220078080007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1105919901 + ... + 1105920099.

Almost surely, 2^220078080000 is an apocalyptic number.

220078080000 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 220078080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409465804000).

220078080000 is an abundant number, since it is smaller than the sum of its proper divisors (598853528000).

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

220078080000 is an frugal number, since it uses more digits than its factorization.

220078080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 220078080000 in words is "two hundred twenty billion, seventy-eight million, eighty thousand".