26261006112 has 432 divisors, whose sum is σ = 86242115232. Its totient is φ = 7804615680.

The previous prime is 26261006111. The next prime is 26261006119. The reversal of 26261006112 is 21160016262.

26261006112 is a `hidden beast` number, since 26 + 26 + 1 + 0 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26261006111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191686108 + ... + 191686244.

It is an arithmetic number, because the mean of its divisors is an integer number (199634526).

Almost surely, 2^26261006112 is an apocalyptic number.

26261006112 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 26261006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43121057616).

26261006112 is an abundant number, since it is smaller than the sum of its proper divisors (59981109120).

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

26261006112 is an equidigital number, since it uses as much as digits as its factorization.

26261006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 26261006112 in words is "twenty-six billion, two hundred sixty-one million, six thousand, one hundred twelve".