26081415360 has 1344 divisors, whose sum is σ = 123018255360. Its totient is φ = 4897013760.

The previous prime is 26081415341. The next prime is 26081415361. The reversal of 26081415360 is 6351418062.

It is a happy number.

26081415360 is a `hidden beast` number, since 2 + 6 + 0 + 81 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (26081415361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239278986 + ... + 239279094.

It is an arithmetic number, because the mean of its divisors is an integer number (91531440).

Almost surely, 2^26081415360 is an apocalyptic number.

26081415360 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 26081415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61509127680).

26081415360 is an abundant number, since it is smaller than the sum of its proper divisors (96936840000).

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

26081415360 is a wasteful number, since it uses less digits than its factorization.

26081415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 26081415360 in words is "twenty-six billion, eighty-one million, four hundred fifteen thousand, three hundred sixty".