20431534514200 has 96 divisors (see below), whose sum is σ = 50041762747200. Its totient is φ = 7736550503040.

The previous prime is 20431534514173. The next prime is 20431534514201. The reversal of 20431534514200 is 241543513402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20431534514201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2909707 + ... + 7023493.

It is an arithmetic number, because the mean of its divisors is an integer number (521268361950).

Almost surely, 2^{20431534514200} is an apocalyptic number.

20431534514200 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 20431534514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25020881373600).

20431534514200 is an abundant number, since it is smaller than the sum of its proper divisors (29610228233000).

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

20431534514200 is a wasteful number, since it uses less digits than its factorization.

20431534514200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115129 (or 4115120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 20431534514200 in words is "twenty trillion, four hundred thirty-one billion, five hundred thirty-four million, five hundred fourteen thousand, two hundred".