266957985168 has 640 divisors, whose sum is σ = 939796992000. Its totient is φ = 70867353600.

The previous prime is 266957985163. The next prime is 266957985209. The reversal of 266957985168 is 861589759662.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 266957985096 and 266957985105.

It is not an unprimeable number, because it can be changed into a prime (266957985163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1038746896 + ... + 1038747152.

It is an arithmetic number, because the mean of its divisors is an integer number (1468432800).

Almost surely, 2^266957985168 is an apocalyptic number.

266957985168 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 266957985168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469898496000).

266957985168 is an abundant number, since it is smaller than the sum of its proper divisors (672839006832).

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

266957985168 is a wasteful number, since it uses less digits than its factorization.

266957985168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 266957985168 in words is "two hundred sixty-six billion, nine hundred fifty-seven million, nine hundred eighty-five thousand, one hundred sixty-eight".