266127162048 has 1008 divisors, whose sum is σ = 945916807680. Its totient is φ = 70773964800.

The previous prime is 266127162047. The next prime is 266127162089. The reversal of 266127162048 is 840261721662.

266127162048 is a `hidden beast` number, since 2 + 6 + 6 + 12 + 7 + 1 + 620 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 266127161994 and 266127162012.

It is not an unprimeable number, because it can be changed into a prime (266127162047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2990192788 + ... + 2990192876.

Almost surely, 2^266127162048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266127162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472958403840).

266127162048 is an abundant number, since it is smaller than the sum of its proper divisors (679789645632).

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

266127162048 is a wasteful number, since it uses less digits than its factorization.

266127162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 266127162048 in words is "two hundred sixty-six billion, one hundred twenty-seven million, one hundred sixty-two thousand, forty-eight".