20251302328320 has 1536 divisors, whose sum is σ = 80847486720000. Its totient is φ = 4224140181504.

The previous prime is 20251302328241. The next prime is 20251302328331. The reversal of 20251302328320 is 2382320315202.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16477869466 + ... + 16477870694.

It is an arithmetic number, because the mean of its divisors is an integer number (52635082500).

Almost surely, 2^{20251302328320} is an apocalyptic number.

20251302328320 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 20251302328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40423743360000).

20251302328320 is an abundant number, since it is smaller than the sum of its proper divisors (60596184391680).

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

20251302328320 is a wasteful number, since it uses less digits than its factorization.

20251302328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 20251302328320 in words is "twenty trillion, two hundred fifty-one billion, three hundred two million, three hundred twenty-eight thousand, three hundred twenty".