264553413115200 has 168 divisors, whose sum is σ = 946860716038560. Its totient is φ = 64134160742400.

The previous prime is 264553413115177. The next prime is 264553413115207. The reversal of 264553413115200 is 2511314355462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264553413115207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505187855 + ... + 2505293454.

Almost surely, 2^{264553413115200} is an apocalyptic number.

264553413115200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264553413115200 is an abundant number, since it is smaller than the sum of its proper divisors (682307302923360).

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

264553413115200 is a wasteful number, since it uses less digits than its factorization.

264553413115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010481345 (or 5010481330 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 264553413115200 in words is "two hundred sixty-four trillion, five hundred fifty-three billion, four hundred thirteen million, one hundred fifteen thousand, two hundred".