26649165312 has 960 divisors, whose sum is σ = 104179046400. Its totient is φ = 6350192640.

The previous prime is 26649165287. The next prime is 26649165421. The reversal of 26649165312 is 21356194662.

26649165312 is a `hidden beast` number, since 2 + 66 + 49 + 16 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397748703 + ... + 397748769.

It is an arithmetic number, because the mean of its divisors is an integer number (108519840).

Almost surely, 2^26649165312 is an apocalyptic number.

26649165312 is a gapful number since it is divisible by the number (22) 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 26649165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52089523200).

26649165312 is an abundant number, since it is smaller than the sum of its proper divisors (77529881088).

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

26649165312 is a wasteful number, since it uses less digits than its factorization.

26649165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 26649165312 in words is "twenty-six billion, six hundred forty-nine million, one hundred sixty-five thousand, three hundred twelve".