263567678220 has 768 divisors, whose sum is σ = 1051783004160. Its totient is φ = 53212723200.

The previous prime is 263567678167. The next prime is 263567678281. The reversal of 263567678220 is 22876765362.

263567678220 is a `hidden beast` number, since 2 + 6 + 3 + 567 + 6 + 78 + 2 + 2 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 215508529 + ... + 215509751.

It is an arithmetic number, because the mean of its divisors is an integer number (1369509120).

Almost surely, 2^263567678220 is an apocalyptic number.

263567678220 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 263567678220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525891502080).

263567678220 is an abundant number, since it is smaller than the sum of its proper divisors (788215325940).

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

263567678220 is a wasteful number, since it uses less digits than its factorization.

263567678220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 263567678220 in words is "two hundred sixty-three billion, five hundred sixty-seven million, six hundred seventy-eight thousand, two hundred twenty".