20405370017106 has 128 divisors (see below), whose sum is σ = 46027350835200. Its totient is φ = 6700200292800.

The previous prime is 20405370017101. The next prime is 20405370017173. The reversal of 20405370017106 is 60171007350402.

It is a happy number.

20405370017106 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 537 + 0 + 0 + 17 + 106 = 666.

It is not an unprimeable number, because it can be changed into a prime (20405370017101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2538293035 + ... + 2538301073.

It is an arithmetic number, because the mean of its divisors is an integer number (359588678400).

Almost surely, 2^{20405370017106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20405370017106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23013675417600).

20405370017106 is an abundant number, since it is smaller than the sum of its proper divisors (25621980818094).

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

20405370017106 is a wasteful number, since it uses less digits than its factorization.

20405370017106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 20405370017106 its reverse (60171007350402), we get a palindrome (80576377367508).

The spelling of 20405370017106 in words is "twenty trillion, four hundred five billion, three hundred seventy million, seventeen thousand, one hundred six".