26285005657248 has 384 divisors, whose sum is σ = 76631756753664. Its totient is φ = 7836416409600.

The previous prime is 26285005657217. The next prime is 26285005657259. The reversal of 26285005657248 is 84275650058262.

It is a junction number, because it is equal to n+sod(n) for n = 26285005657191 and 26285005657200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16215301878 + ... + 16215303498.

It is an arithmetic number, because the mean of its divisors is an integer number (199561866546).

Almost surely, 2^{26285005657248} 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 26285005657248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38315878376832).

26285005657248 is an abundant number, since it is smaller than the sum of its proper divisors (50346751096416).

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

26285005657248 is a wasteful number, since it uses less digits than its factorization.

26285005657248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 26285005657248 in words is "twenty-six trillion, two hundred eighty-five billion, five million, six hundred fifty-seven thousand, two hundred forty-eight".