26110416960 has 896 divisors, whose sum is σ = 104285491200. Its totient is φ = 6115000320.

The previous prime is 26110416923. The next prime is 26110417001. The reversal of 26110416960 is 6961401162.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199316095 + ... + 199316225.

Almost surely, 2^26110416960 is an apocalyptic number.

26110416960 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 26110416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52142745600).

26110416960 is an abundant number, since it is smaller than the sum of its proper divisors (78175074240).

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

26110416960 is a wasteful number, since it uses less digits than its factorization.

26110416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 26110416960 in words is "twenty-six billion, one hundred ten million, four hundred sixteen thousand, nine hundred sixty".