26049128924160 has 264 divisors, whose sum is σ = 90758253984216. Its totient is φ = 6908054077440.

The previous prime is 26049128924111. The next prime is 26049128924197. The reversal of 26049128924160 is 6142982194062.

26049128924160 is a `hidden beast` number, since 2 + 6 + 0 + 491 + 2 + 8 + 92 + 4 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 926106624 + 26048202817536 = 30432^2 + 5103744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26049128924097 and 26049128924106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6778872 + ... + 9902088.

Almost surely, 2^{26049128924160} is an apocalyptic number.

26049128924160 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 26049128924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45379126992108).

26049128924160 is an abundant number, since it is smaller than the sum of its proper divisors (64709125060056).

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

26049128924160 is a wasteful number, since it uses less digits than its factorization.

26049128924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123429 (or 3123408 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 26049128924160 in words is "twenty-six trillion, forty-nine billion, one hundred twenty-eight million, nine hundred twenty-four thousand, one hundred sixty".