264254871920 has 80 divisors (see below), whose sum is σ = 661840243680. Its totient is φ = 97543498752.

The previous prime is 264254871913. The next prime is 264254871931. The reversal of 264254871920 is 29178452462.

264254871920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3854582 + ... + 3922538.

It is an arithmetic number, because the mean of its divisors is an integer number (8273003046).

Almost surely, 2^264254871920 is an apocalyptic number.

264254871920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264254871920 is an abundant number, since it is smaller than the sum of its proper divisors (397585371760).

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

264254871920 is a wasteful number, since it uses less digits than its factorization.

264254871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71722 (or 71716 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 264254871920 in words is "two hundred sixty-four billion, two hundred fifty-four million, eight hundred seventy-one thousand, nine hundred twenty".