20522436412140 has 288 divisors, whose sum is σ = 67569120755136. Its totient is φ = 5011822632960.

The previous prime is 20522436412117. The next prime is 20522436412157. The reversal of 20522436412140 is 4121463422502.

20522436412140 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 4 + 3 + 641 + 2 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20522436412095 and 20522436412104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1807660704 + ... + 1807672056.

It is an arithmetic number, because the mean of its divisors is an integer number (234615002622).

Almost surely, 2^{20522436412140} is an apocalyptic number.

20522436412140 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 20522436412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784560377568).

20522436412140 is an abundant number, since it is smaller than the sum of its proper divisors (47046684342996).

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

20522436412140 is a wasteful number, since it uses less digits than its factorization.

20522436412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409 (or 17404 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 20522436412140 its reverse (4121463422502), we get a palindrome (24643899834642).

The spelling of 20522436412140 in words is "twenty trillion, five hundred twenty-two billion, four hundred thirty-six million, four hundred twelve thousand, one hundred forty".