20101268880 has 640 divisors, whose sum is σ = 90879897600. Its totient is φ = 3956428800.

The previous prime is 20101268827. The next prime is 20101268881. The reversal of 20101268880 is 8886210102.

It is a super-2 number, since 2×20101268880² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20101268881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3156900 + ... + 3163260.

It is an arithmetic number, because the mean of its divisors is an integer number (141999840).

Almost surely, 2^20101268880 is an apocalyptic number.

20101268880 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 20101268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45439948800).

20101268880 is an abundant number, since it is smaller than the sum of its proper divisors (70778628720).

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

20101268880 is a wasteful number, since it uses less digits than its factorization.

20101268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 20101268880 its reverse (8886210102), we get a palindrome (28987478982).

The spelling of 20101268880 in words is "twenty billion, one hundred one million, two hundred sixty-eight thousand, eight hundred eighty".