20126271472776 has 384 divisors, whose sum is σ = 67984131720960. Its totient is φ = 5247070617600.

The previous prime is 20126271472717. The next prime is 20126271472847. The reversal of 20126271472776 is 67727417262102.

It is a happy number.

20126271472776 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 627 + 1 + 4 + 7 + 2 + 7 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88968531 + ... + 89194461.

It is an arithmetic number, because the mean of its divisors is an integer number (177042009690).

Almost surely, 2^{20126271472776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126271472776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992065860480).

20126271472776 is an abundant number, since it is smaller than the sum of its proper divisors (47857860248184).

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

20126271472776 is a wasteful number, since it uses less digits than its factorization.

20126271472776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226285 (or 226278 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 20126271472776 in words is "twenty trillion, one hundred twenty-six billion, two hundred seventy-one million, four hundred seventy-two thousand, seven hundred seventy-six".