264933157104 has 480 divisors, whose sum is σ = 962341184000. Its totient is φ = 68305628160.

The previous prime is 264933157081. The next prime is 264933157121. The reversal of 264933157104 is 401751339462.

264933157104 is a `hidden beast` number, since 2 + 6 + 49 + 3 + 31 + 571 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 264933157104.

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 95 ways as a sum of consecutive naturals, for example, 50858052 + ... + 50863260.

Almost surely, 2^264933157104 is an apocalyptic number.

264933157104 is a gapful number since it is divisible by the number (24) 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 264933157104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481170592000).

264933157104 is an abundant number, since it is smaller than the sum of its proper divisors (697408026896).

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

264933157104 is a wasteful number, since it uses less digits than its factorization.

264933157104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 264933157104 in words is "two hundred sixty-four billion, nine hundred thirty-three million, one hundred fifty-seven thousand, one hundred four".