20126214160 has 80 divisors (see below), whose sum is σ = 50580981360. Its totient is φ = 7403489280.

The previous prime is 20126214137. The next prime is 20126214161. The reversal of 20126214160 is 6141262102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8594031616 + 11532182544 = 92704^2 + 107388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×20126214160³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20126214161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243790 + ... + 315730.

It is an arithmetic number, because the mean of its divisors is an integer number (632262267).

Almost surely, 2^20126214160 is an apocalyptic number.

20126214160 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 20126214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290490680).

20126214160 is an abundant number, since it is smaller than the sum of its proper divisors (30454767200).

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

20126214160 is a wasteful number, since it uses less digits than its factorization.

20126214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72236 (or 72230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 20126214160 its reverse (6141262102), we get a palindrome (26267476262).

The spelling of 20126214160 in words is "twenty billion, one hundred twenty-six million, two hundred fourteen thousand, one hundred sixty".