26113261680 has 640 divisors, whose sum is σ = 102473441280. Its totient is φ = 6105369600.

The previous prime is 26113261639. The next prime is 26113261709. The reversal of 26113261680 is 8616231162.

It is a happy number.

26113261680 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 32 + 616 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89123614 + ... + 89123906.

It is an arithmetic number, because the mean of its divisors is an integer number (160114752).

Almost surely, 2^26113261680 is an apocalyptic number.

26113261680 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 26113261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51236720640).

26113261680 is an abundant number, since it is smaller than the sum of its proper divisors (76360179600).

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

26113261680 is a wasteful number, since it uses less digits than its factorization.

26113261680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 26113261680 in words is "twenty-six billion, one hundred thirteen million, two hundred sixty-one thousand, six hundred eighty".