263938751455104 has 320 divisors, whose sum is σ = 871407976348800. Its totient is φ = 78625820206080.

The previous prime is 263938751455087. The next prime is 263938751455111. The reversal of 263938751455104 is 401554157839362.

263938751455104 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 3 + 8 + 7 + 514 + 5 + 5 + 104 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12883692 + ... + 26341355.

It is an arithmetic number, because the mean of its divisors is an integer number (2723149926090).

It is a 1-persistent number, because it is pandigital, but 2⋅263938751455104 = 527877502910208 is not.

Almost surely, 2^{263938751455104} is an apocalyptic number.

263938751455104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

263938751455104 is an abundant number, since it is smaller than the sum of its proper divisors (607469224893696).

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

263938751455104 is a wasteful number, since it uses less digits than its factorization.

263938751455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39225143 (or 39225122 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 263938751455104 in words is "two hundred sixty-three trillion, nine hundred thirty-eight billion, seven hundred fifty-one million, four hundred fifty-five thousand, one hundred four".