20126044224 has 504 divisors, whose sum is σ = 69291611480. Its totient is φ = 5547294720.

The previous prime is 20126044157. The next prime is 20126044231. The reversal of 20126044224 is 42244062102.

20126044224 is a `hidden beast` number, since 2 + 0 + 12 + 604 + 42 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3528360000 + 16597684224 = 59400^2 + 128832^2 .

It is a super-2 number, since 2×20126044224² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87886542 + ... + 87886770.

Almost surely, 2^20126044224 is an apocalyptic number.

20126044224 is a gapful number since it is divisible by the number (24) 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 20126044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645805740).

20126044224 is an abundant number, since it is smaller than the sum of its proper divisors (49165567256).

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

20126044224 is a wasteful number, since it uses less digits than its factorization.

20126044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 20126044224 in words is "twenty billion, one hundred twenty-six million, forty-four thousand, two hundred twenty-four".