20517126371040 has 192 divisors, whose sum is σ = 69713223241536. Its totient is φ = 5042183258112.

The previous prime is 20517126370921. The next prime is 20517126371059. The reversal of 20517126371040 is 4017362171502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20517126371040.

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, 1185574 + ... + 6514586.

It is an arithmetic number, because the mean of its divisors is an integer number (363089704383).

Almost surely, 2^{20517126371040} is an apocalyptic number.

20517126371040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20517126371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856611620768).

20517126371040 is an abundant number, since it is smaller than the sum of its proper divisors (49196096870496).

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

20517126371040 is a wasteful number, since it uses less digits than its factorization.

20517126371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329661 (or 5329653 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20517126371040 in words is "twenty trillion, five hundred seventeen billion, one hundred twenty-six million, three hundred seventy-one thousand, forty".