264790955520 has 2880 divisors, whose sum is σ = 1316945710080. Its totient is φ = 47648342016.

The previous prime is 264790955483. The next prime is 264790955521. The reversal of 264790955520 is 25559097462.

264790955520 is a `hidden beast` number, since 2 + 64 + 7 + 9 + 0 + 9 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×264790955520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264790955521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11512650229 + ... + 11512650251.

It is an arithmetic number, because the mean of its divisors is an integer number (457272816).

Almost surely, 2^264790955520 is an apocalyptic number.

264790955520 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 264790955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658472855040).

264790955520 is an abundant number, since it is smaller than the sum of its proper divisors (1052154754560).

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

264790955520 is a wasteful number, since it uses less digits than its factorization.

264790955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 264790955520 in words is "two hundred sixty-four billion, seven hundred ninety million, nine hundred fifty-five thousand, five hundred twenty".