20400305120 has 96 divisors (see below), whose sum is σ = 52299989280. Its totient is φ = 7474821120.

The previous prime is 20400305069. The next prime is 20400305131. The reversal of 20400305120 is 2150300402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235046 + ... + 309914.

It is an arithmetic number, because the mean of its divisors is an integer number (544791555).

Almost surely, 2^20400305120 is an apocalyptic number.

20400305120 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 20400305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26149994640).

20400305120 is an abundant number, since it is smaller than the sum of its proper divisors (31899684160).

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

20400305120 is a wasteful number, since it uses less digits than its factorization.

20400305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75028 (or 75020 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 20400305120 its reverse (2150300402), we get a palindrome (22550605522).

The spelling of 20400305120 in words is "twenty billion, four hundred million, three hundred five thousand, one hundred twenty".