26135665920 has 864 divisors, whose sum is σ = 112816634112. Its totient is φ = 5439356928.

The previous prime is 26135665889. The next prime is 26135665931. The reversal of 26135665920 is 2956653162.

26135665920 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 56 + 6 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112170124 + ... + 112170356.

It is an arithmetic number, because the mean of its divisors is an integer number (130574808).

Almost surely, 2^26135665920 is an apocalyptic number.

26135665920 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 26135665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56408317056).

26135665920 is an abundant number, since it is smaller than the sum of its proper divisors (86680968192).

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

26135665920 is a wasteful number, since it uses less digits than its factorization.

26135665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 26135665920 in words is "twenty-six billion, one hundred thirty-five million, six hundred sixty-five thousand, nine hundred twenty".