26248780350 has 192 divisors, whose sum is σ = 80408186880. Its totient is φ = 6252681600.

The previous prime is 26248780297. The next prime is 26248780357. The reversal of 26248780350 is 5308784262.

26248780350 is a `hidden beast` number, since 2 + 62 + 487 + 80 + 35 + 0 = 666.

It is a super-2 number, since 2×26248780350² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26248780296 and 26248780305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26248780357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519927 + ... + 568173.

It is an arithmetic number, because the mean of its divisors is an integer number (418792640).

Almost surely, 2^26248780350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26248780350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40204093440).

26248780350 is an abundant number, since it is smaller than the sum of its proper divisors (54159406530).

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

26248780350 is a wasteful number, since it uses less digits than its factorization.

26248780350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312 (or 48301 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26248780350 in words is "twenty-six billion, two hundred forty-eight million, seven hundred eighty thousand, three hundred fifty".