20100218880 has 544 divisors, whose sum is σ = 77308821504. Its totient is φ = 4359979008.

The previous prime is 20100218869. The next prime is 20100218899. The reversal of 20100218880 is 8881200102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158269377 + ... + 158269503.

Almost surely, 2^20100218880 is an apocalyptic number.

20100218880 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 20100218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38654410752).

20100218880 is an abundant number, since it is smaller than the sum of its proper divisors (57208602624).

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

20100218880 is an equidigital number, since it uses as much as digits as its factorization.

20100218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

Adding to 20100218880 its reverse (8881200102), we get a palindrome (28981418982).

The spelling of 20100218880 in words is "twenty billion, one hundred million, two hundred eighteen thousand, eight hundred eighty".