26261444160 has 1680 divisors, whose sum is σ = 121087042560. Its totient is φ = 5364817920.

The previous prime is 26261444123. The next prime is 26261444179. The reversal of 26261444160 is 6144416262.

26261444160 is a `hidden beast` number, since 2 + 626 + 14 + 4 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 847143345 + ... + 847143375.

Almost surely, 2^26261444160 is an apocalyptic number.

26261444160 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 26261444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60543521280).

26261444160 is an abundant number, since it is smaller than the sum of its proper divisors (94825598400).

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

26261444160 is a wasteful number, since it uses less digits than its factorization.

26261444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26261444160 in words is "twenty-six billion, two hundred sixty-one million, four hundred forty-four thousand, one hundred sixty".