20311527161300 has 72 divisors (see below), whose sum is σ = 44735036383800. Its totient is φ = 8003407288320.

The previous prime is 20311527161243. The next prime is 20311527161311. The reversal of 20311527161300 is 316172511302.

It can be written as a sum of positive squares in 12 ways, for example, as 6691855007044 + 13619672154256 = 2586862^2 + 3690484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4186046 + ... + 7625354.

It is an arithmetic number, because the mean of its divisors is an integer number (621319949775).

Almost surely, 2^{20311527161300} is an apocalyptic number.

20311527161300 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 20311527161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22367518191900).

20311527161300 is an abundant number, since it is smaller than the sum of its proper divisors (24423509222500).

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

20311527161300 is a wasteful number, since it uses less digits than its factorization.

20311527161300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440205 (or 3440198 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 20311527161300 its reverse (316172511302), we get a palindrome (20627699672602).

The spelling of 20311527161300 in words is "twenty trillion, three hundred eleven billion, five hundred twenty-seven million, one hundred sixty-one thousand, three hundred".