20126736689472 has 672 divisors, whose sum is σ = 70378024953600. Its totient is φ = 5368250695680.

The previous prime is 20126736689459. The next prime is 20126736689483. The reversal of 20126736689472 is 27498663762102.

20126736689472 is a `hidden beast` number, since 2 + 0 + 1 + 26 + 7 + 3 + 66 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 14104229623 + ... + 14104231049.

It is an arithmetic number, because the mean of its divisors is an integer number (104729203800).

Almost surely, 2^{20126736689472} 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 20126736689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35189012476800).

20126736689472 is an abundant number, since it is smaller than the sum of its proper divisors (50251288264128).

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

20126736689472 is a wasteful number, since it uses less digits than its factorization.

20126736689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 20126736689472 in words is "twenty trillion, one hundred twenty-six billion, seven hundred thirty-six million, six hundred eighty-nine thousand, four hundred seventy-two".