26336378880 has 810 divisors, whose sum is σ = 110281336074. Its totient is φ = 6019743744.

The previous prime is 26336378867. The next prime is 26336378891. The reversal of 26336378880 is 8887363362.

26336378880 is a `hidden beast` number, since 263 + 3 + 6 + 378 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21069103104 + 5267275776 = 145152^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3762339837 + ... + 3762339843.

Almost surely, 2^26336378880 is an apocalyptic number.

26336378880 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 26336378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55140668037).

26336378880 is an abundant number, since it is smaller than the sum of its proper divisors (83944957194).

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

26336378880 is an frugal number, since it uses more digits than its factorization.

26336378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

It can be divided in two parts, 263363 and 78880, that added together give a palindrome (342243).

The spelling of 26336378880 in words is "twenty-six billion, three hundred thirty-six million, three hundred seventy-eight thousand, eight hundred eighty".