20322842904000 has 3024 divisors, whose sum is σ = 93539027365056. Its totient is φ = 4173990912000.

The previous prime is 20322842903999. The next prime is 20322842904047. The reversal of 20322842904000 is 40924822302.

20322842904000 is a `hidden beast` number, since 2 + 0 + 3 + 228 + 4 + 29 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 257251175961 + ... + 257251176039.

It is an arithmetic number, because the mean of its divisors is an integer number (30932218044).

Almost surely, 2^{20322842904000} is an apocalyptic number.

20322842904000 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 20322842904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46769513682528).

20322842904000 is an abundant number, since it is smaller than the sum of its proper divisors (73216184461056).

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

20322842904000 is a wasteful number, since it uses less digits than its factorization.

20322842904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20322842904000 in words is "twenty trillion, three hundred twenty-two billion, eight hundred forty-two million, nine hundred four thousand".