20267407067104 has 192 divisors, whose sum is σ = 43563742729920. Its totient is φ = 9246552883200.

The previous prime is 20267407067057. The next prime is 20267407067119. The reversal of 20267407067104 is 40176070476202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557498592 + ... + 557534944.

It is an arithmetic number, because the mean of its divisors is an integer number (226894493385).

Almost surely, 2^{20267407067104} 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 20267407067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781871364960).

20267407067104 is an abundant number, since it is smaller than the sum of its proper divisors (23296335662816).

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

20267407067104 is a wasteful number, since it uses less digits than its factorization.

20267407067104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36693 (or 36685 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The spelling of 20267407067104 in words is "twenty trillion, two hundred sixty-seven billion, four hundred seven million, sixty-seven thousand, one hundred four".