26119633680 has 640 divisors, whose sum is σ = 109552988160. Its totient is φ = 5583790080.

The previous prime is 26119633679. The next prime is 26119633711. The reversal of 26119633680 is 8633691162.

26119633680 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 9 + 633 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78911115 + ... + 78911445.

It is an arithmetic number, because the mean of its divisors is an integer number (171176544).

Almost surely, 2^26119633680 is an apocalyptic number.

26119633680 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 26119633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54776494080).

26119633680 is an abundant number, since it is smaller than the sum of its proper divisors (83433354480).

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

26119633680 is a wasteful number, since it uses less digits than its factorization.

26119633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26119633680 in words is "twenty-six billion, one hundred nineteen million, six hundred thirty-three thousand, six hundred eighty".