26261146080 has 768 divisors, whose sum is σ = 104979732480. Its totient is φ = 6158592000.

The previous prime is 26261146031. The next prime is 26261146081. The reversal of 26261146080 is 8064116262.

26261146080 is a `hidden beast` number, since 2 + 62 + 61 + 1 + 460 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261146081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104625955 + ... + 104626205.

It is an arithmetic number, because the mean of its divisors is an integer number (136692360).

Almost surely, 2^26261146080 is an apocalyptic number.

26261146080 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 26261146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489866240).

26261146080 is an abundant number, since it is smaller than the sum of its proper divisors (78718586400).

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

26261146080 is a wasteful number, since it uses less digits than its factorization.

26261146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26261146080 in words is "twenty-six billion, two hundred sixty-one million, one hundred forty-six thousand, eighty".