20345540450000 has 240 divisors, whose sum is σ = 50122281687408. Its totient is φ = 7997875200000.

The previous prime is 20345540449909. The next prime is 20345540450009. The reversal of 20345540450000 is 5404554302.

It can be written as a sum of positive squares in 24 ways, for example, as 14524361255056 + 5821179194944 = 3811084^2 + 2412712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345540450009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870847912 + ... + 4870852088.

Almost surely, 2^{20345540450000} is an apocalyptic number.

20345540450000 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 20345540450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061140843704).

20345540450000 is an abundant number, since it is smaller than the sum of its proper divisors (29776741237408).

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

20345540450000 is an equidigital number, since it uses as much as digits as its factorization.

20345540450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 20345540450000 in words is "twenty trillion, three hundred forty-five billion, five hundred forty million, four hundred fifty thousand".