26328724650 has 288 divisors, whose sum is σ = 77818680000. Its totient is φ = 6527226240.

The previous prime is 26328724637. The next prime is 26328724691. The reversal of 26328724650 is 5642782362.

26328724650 is a `hidden beast` number, since 2 + 632 + 8 + 7 + 2 + 4 + 6 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 26328724596 and 26328724605.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176702776 + ... + 176702924.

It is an arithmetic number, because the mean of its divisors is an integer number (270203750).

Almost surely, 2^26328724650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26328724650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909340000).

26328724650 is an abundant number, since it is smaller than the sum of its proper divisors (51489955350).

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

26328724650 is a wasteful number, since it uses less digits than its factorization.

26328724650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26328724650 in words is "twenty-six billion, three hundred twenty-eight million, seven hundred twenty-four thousand, six hundred fifty".