263115668088 has 1536 divisors, whose sum is σ = 1025934336000. Its totient is φ = 61695406080.

The previous prime is 263115668077. The next prime is 263115668089. The reversal of 263115668088 is 880866511362.

263115668088 is a `hidden beast` number, since 2 + 63 + 11 + 566 + 8 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263115668089) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4313371578 + ... + 4313371638.

It is an arithmetic number, because the mean of its divisors is an integer number (667926000).

Almost surely, 2^263115668088 is an apocalyptic number.

263115668088 is a gapful number since it is divisible by the number (28) 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 263115668088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512967168000).

263115668088 is an abundant number, since it is smaller than the sum of its proper divisors (762818667912).

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

263115668088 is a wasteful number, since it uses less digits than its factorization.

263115668088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 263115668088 in words is "two hundred sixty-three billion, one hundred fifteen million, six hundred sixty-eight thousand, eighty-eight".