264451300020 has 144 divisors (see below), whose sum is σ = 809418355200. Its totient is φ = 69884825088.

The previous prime is 264451299989. The next prime is 264451300031. The reversal of 264451300020 is 20003154462.

264451300020 is a `hidden beast` number, since 2 + 644 + 5 + 13 + 0 + 0 + 0 + 2 + 0 = 666.

264451300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14762389 + ... + 14780291.

It is an arithmetic number, because the mean of its divisors is an integer number (5620960800).

Almost surely, 2^264451300020 is an apocalyptic number.

264451300020 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 264451300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404709177600).

264451300020 is an abundant number, since it is smaller than the sum of its proper divisors (544967055180).

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

264451300020 is a wasteful number, since it uses less digits than its factorization.

264451300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18654 (or 18649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 264451300020 its reverse (20003154462), we get a palindrome (284454454482).

The spelling of 264451300020 in words is "two hundred sixty-four billion, four hundred fifty-one million, three hundred thousand, twenty".