26515985539680 has 864 divisors, whose sum is σ = 112039268402880. Its totient is φ = 5591573544960.

The previous prime is 26515985539621. The next prime is 26515985539717. The reversal of 26515985539680 is 8693558951562.

26515985539680 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 5 + 9 + 8 + 5 + 539 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26515985539599 and 26515985539608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4751114490 + ... + 4751120070.

It is an arithmetic number, because the mean of its divisors is an integer number (129675079170).

Almost surely, 2^{26515985539680} is an apocalyptic number.

26515985539680 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 26515985539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019634201440).

26515985539680 is an abundant number, since it is smaller than the sum of its proper divisors (85523282863200).

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

26515985539680 is a wasteful number, since it uses less digits than its factorization.

26515985539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 26515985539680 in words is "twenty-six trillion, five hundred fifteen billion, nine hundred eighty-five million, five hundred thirty-nine thousand, six hundred eighty".