26209478563968 has 768 divisors, whose sum is σ = 83065222656000. Its totient is φ = 7299132825600.

The previous prime is 26209478563951. The next prime is 26209478563969. The reversal of 26209478563968 is 86936587490262.

It is a self number, because there is not a number n which added to its sum of digits gives 26209478563968.

It is not an unprimeable number, because it can be changed into a prime (26209478563969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82679742946 + ... + 82679743262.

It is an arithmetic number, because the mean of its divisors is an integer number (108157842000).

Almost surely, 2^{26209478563968} is an apocalyptic number.

26209478563968 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 26209478563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41532611328000).

26209478563968 is an abundant number, since it is smaller than the sum of its proper divisors (56855744092032).

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

26209478563968 is a wasteful number, since it uses less digits than its factorization.

26209478563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 75.

The spelling of 26209478563968 in words is "twenty-six trillion, two hundred nine billion, four hundred seventy-eight million, five hundred sixty-three thousand, nine hundred sixty-eight".