20413153120536 has 336 divisors, whose sum is σ = 63230619190680. Its totient is φ = 6124362048000.

The previous prime is 20413153120531. The next prime is 20413153120579. The reversal of 20413153120536 is 63502135131402.

20413153120536 is a `hidden beast` number, since 2 + 0 + 41 + 31 + 5 + 31 + 20 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20413153120536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413153120531) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 654398956 + ... + 654430148.

Almost surely, 2^{20413153120536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413153120536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31615309595340).

20413153120536 is an abundant number, since it is smaller than the sum of its proper divisors (42817466070144).

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

20413153120536 is a wasteful number, since it uses less digits than its factorization.

20413153120536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31430 (or 31310 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 20413153120536 its reverse (63502135131402), we get a palindrome (83915288251938).

The spelling of 20413153120536 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-three million, one hundred twenty thousand, five hundred thirty-six".