20006135520 has 288 divisors, whose sum is σ = 73635609600. Its totient is φ = 4552418304.

The previous prime is 20006135509. The next prime is 20006135531. The reversal of 20006135520 is 2553160002.

It is an interprime number because it is at equal distance from previous prime (20006135509) and next prime (20006135531).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619501 + ... + 5623059.

It is an arithmetic number, because the mean of its divisors is an integer number (255679200).

Almost surely, 2^20006135520 is an apocalyptic number.

20006135520 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 20006135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817804800).

20006135520 is an abundant number, since it is smaller than the sum of its proper divisors (53629474080).

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

20006135520 is a wasteful number, since it uses less digits than its factorization.

20006135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 20006135520 its reverse (2553160002), we get a palindrome (22559295522).

The spelling of 20006135520 in words is "twenty billion, six million, one hundred thirty-five thousand, five hundred twenty".