26429193648 has 960 divisors, whose sum is σ = 99743616000. Its totient is φ = 6623907840.

The previous prime is 26429193617. The next prime is 26429193653. The reversal of 26429193648 is 84639192462.

26429193648 is a `hidden beast` number, since 26 + 429 + 193 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26429193594 and 26429193603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296957188 + ... + 296957276.

It is an arithmetic number, because the mean of its divisors is an integer number (103899600).

Almost surely, 2^26429193648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26429193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808000).

26429193648 is an abundant number, since it is smaller than the sum of its proper divisors (73314422352).

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

26429193648 is a wasteful number, since it uses less digits than its factorization.

26429193648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 26429193648 in words is "twenty-six billion, four hundred twenty-nine million, one hundred ninety-three thousand, six hundred forty-eight".