20511422315040 has 192 divisors, whose sum is σ = 66402282038400. Its totient is φ = 5319179034624.

The previous prime is 20511422315039. The next prime is 20511422315071. The reversal of 20511422315040 is 4051322411502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20511422314989 and 20511422315007.

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, 2556756 + ... + 6896364.

It is an arithmetic number, because the mean of its divisors is an integer number (345845218950).

Almost surely, 2^{20511422315040} is an apocalyptic number.

20511422315040 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 20511422315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33201141019200).

20511422315040 is an abundant number, since it is smaller than the sum of its proper divisors (45890859723360).

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

20511422315040 is a wasteful number, since it uses less digits than its factorization.

20511422315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339899 (or 4339891 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 20511422315040 its reverse (4051322411502), we get a palindrome (24562744726542).

The spelling of 20511422315040 in words is "twenty trillion, five hundred eleven billion, four hundred twenty-two million, three hundred fifteen thousand, forty".