26630121361536 has 768 divisors, whose sum is σ = 99710620934400. Its totient is φ = 6848354304000.

The previous prime is 26630121361517. The next prime is 26630121361577. The reversal of 26630121361536 is 63516312103662.

26630121361536 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 0 + 1 + 21 + 3 + 615 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26630121361491 and 26630121361500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295605396 + ... + 295695468.

It is an arithmetic number, because the mean of its divisors is an integer number (129831537675).

Almost surely, 2^{26630121361536} 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 26630121361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49855310467200).

26630121361536 is an abundant number, since it is smaller than the sum of its proper divisors (73080499572864).

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

26630121361536 is a wasteful number, since it uses less digits than its factorization.

26630121361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90226 (or 90197 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 26630121361536 in words is "twenty-six trillion, six hundred thirty billion, one hundred twenty-one million, three hundred sixty-one thousand, five hundred thirty-six".