26481249601950 has 384 divisors, whose sum is σ = 81570604147200. Its totient is φ = 5589451008000.

The previous prime is 26481249601949. The next prime is 26481249601979. The reversal of 26481249601950 is 5910694218462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93187080 + ... + 93470820.

It is an arithmetic number, because the mean of its divisors is an integer number (212423448300).

Almost surely, 2^{26481249601950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26481249601950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40785302073600).

26481249601950 is an abundant number, since it is smaller than the sum of its proper divisors (55089354545250).

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

26481249601950 is a wasteful number, since it uses less digits than its factorization.

26481249601950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284028 (or 284023 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 26481249601950 in words is "twenty-six trillion, four hundred eighty-one billion, two hundred forty-nine million, six hundred one thousand, nine hundred fifty".