20450384824320 has 2688 divisors, whose sum is σ = 84643554078720. Its totient is φ = 4695400120320.

The previous prime is 20450384824319. The next prime is 20450384824351. The reversal of 20450384824320 is 2342848305402.

20450384824320 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 0 + 384 + 8 + 243 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 161026652097 + ... + 161026652223.

It is an arithmetic number, because the mean of its divisors is an integer number (31489417440).

Almost surely, 2^{20450384824320} is an apocalyptic number.

20450384824320 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 20450384824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42321777039360).

20450384824320 is an abundant number, since it is smaller than the sum of its proper divisors (64193169254400).

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

20450384824320 is a wasteful number, since it uses less digits than its factorization.

20450384824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 20450384824320 in words is "twenty trillion, four hundred fifty billion, three hundred eighty-four million, eight hundred twenty-four thousand, three hundred twenty".