20431126800 has 480 divisors, whose sum is σ = 83783208960. Its totient is φ = 4632076800.

The previous prime is 20431126787. The next prime is 20431126801. The reversal of 20431126800 is 862113402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20431126801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9902569 + ... + 9904631.

It is an arithmetic number, because the mean of its divisors is an integer number (174548352).

Almost surely, 2^20431126800 is an apocalyptic number.

20431126800 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 20431126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41891604480).

20431126800 is an abundant number, since it is smaller than the sum of its proper divisors (63352082160).

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

20431126800 is a wasteful number, since it uses less digits than its factorization.

20431126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20431126800 in words is "twenty billion, four hundred thirty-one million, one hundred twenty-six thousand, eight hundred".