26115517626480 has 240 divisors, whose sum is σ = 88709760247680. Its totient is φ = 6884359680000.

The previous prime is 26115517626469. The next prime is 26115517626557. The reversal of 26115517626480 is 8462671551162.

26115517626480 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 5 + 5 + 1 + 7 + 626 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304401190 + ... + 304486970.

It is an arithmetic number, because the mean of its divisors is an integer number (369624001032).

Almost surely, 2^{26115517626480} is an apocalyptic number.

26115517626480 is a gapful number since it is divisible by the number (20) 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 26115517626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44354880123840).

26115517626480 is an abundant number, since it is smaller than the sum of its proper divisors (62594242621200).

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

26115517626480 is a wasteful number, since it uses less digits than its factorization.

26115517626480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90640 (or 90631 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 26115517626480 in words is "twenty-six trillion, one hundred fifteen billion, five hundred seventeen million, six hundred twenty-six thousand, four hundred eighty".