263751287680 has 256 divisors, whose sum is σ = 673650432000. Its totient is φ = 98462269440.

The previous prime is 263751287677. The next prime is 263751287687. The reversal of 263751287680 is 86782157362.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263751287687) 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 31 ways as a sum of consecutive naturals, for example, 366830361 + ... + 366831079.

It is an arithmetic number, because the mean of its divisors is an integer number (2631447000).

Almost surely, 2^263751287680 is an apocalyptic number.

263751287680 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 263751287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336825216000).

263751287680 is an abundant number, since it is smaller than the sum of its proper divisors (409899144320).

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

263751287680 is a wasteful number, since it uses less digits than its factorization.

263751287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 263751287680 in words is "two hundred sixty-three billion, seven hundred fifty-one million, two hundred eighty-seven thousand, six hundred eighty".