20517607536426 has 960 divisors, whose sum is σ = 66559434670080. Its totient is φ = 4570697963520.

The previous prime is 20517607536403. The next prime is 20517607536431. The reversal of 20517607536426 is 62463570671502.

20517607536426 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 7 + 60 + 7 + 536 + 42 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2831182735 + ... + 2831189981.

It is an arithmetic number, because the mean of its divisors is an integer number (69332744448).

Almost surely, 2^{20517607536426} is an apocalyptic number.

20517607536426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20517607536426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33279717335040).

20517607536426 is an abundant number, since it is smaller than the sum of its proper divisors (46041827133654).

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

20517607536426 is a wasteful number, since it uses less digits than its factorization.

20517607536426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 20517607536426 in words is "twenty trillion, five hundred seventeen billion, six hundred seven million, five hundred thirty-six thousand, four hundred twenty-six".