20305340181120 has 1024 divisors, whose sum is σ = 72487747584000. Its totient is φ = 4808529149952.

The previous prime is 20305340181089. The next prime is 20305340181149. The reversal of 20305340181120 is 2118104350302.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18680165217 + ... + 18680166303.

It is an arithmetic number, because the mean of its divisors is an integer number (70788816000).

Almost surely, 2^{20305340181120} is an apocalyptic number.

20305340181120 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 20305340181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36243873792000).

20305340181120 is an abundant number, since it is smaller than the sum of its proper divisors (52182407402880).

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

20305340181120 is a wasteful number, since it uses less digits than its factorization.

20305340181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20305340181120 in words is "twenty trillion, three hundred five billion, three hundred forty million, one hundred eighty-one thousand, one hundred twenty".