26948466030528 has 1120 divisors, whose sum is σ = 96397058229120. Its totient is φ = 7283889930240.

The previous prime is 26948466030481. The next prime is 26948466030539. The reversal of 26948466030528 is 82503066484962.

It is a happy number.

26948466030528 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 8 + 46 + 60 + 3 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 7289277576 + ... + 7289281272.

Almost surely, 2^{26948466030528} is an apocalyptic number.

26948466030528 is a gapful number since it is divisible by the number (28) 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 26948466030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48198529114560).

26948466030528 is an abundant number, since it is smaller than the sum of its proper divisors (69448592198592).

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

26948466030528 is a wasteful number, since it uses less digits than its factorization.

26948466030528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 26948466030528 in words is "twenty-six trillion, nine hundred forty-eight billion, four hundred sixty-six million, thirty thousand, five hundred twenty-eight".