20031221359600 has 960 divisors, whose sum is σ = 60092288847360. Its totient is φ = 6320730931200.

The previous prime is 20031221359573. The next prime is 20031221359601. The reversal of 20031221359600 is 695312213002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031221359601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26461322422 + ... + 26461323178.

It is an arithmetic number, because the mean of its divisors is an integer number (62596134216).

Almost surely, 2^{20031221359600} is an apocalyptic number.

20031221359600 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 20031221359600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046144423680).

20031221359600 is an abundant number, since it is smaller than the sum of its proper divisors (40061067487760).

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

20031221359600 is a wasteful number, since it uses less digits than its factorization.

20031221359600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 20031221359600 in words is "twenty trillion, thirty-one billion, two hundred twenty-one million, three hundred fifty-nine thousand, six hundred".