26802003271680 has 2688 divisors, whose sum is σ = 120030030102528. Its totient is φ = 5586322194432.

The previous prime is 26802003271651. The next prime is 26802003271741. The reversal of 26802003271680 is 8617230020862.

26802003271680 is a `hidden beast` number, since 2 + 68 + 0 + 200 + 327 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115030056844 + ... + 115030057076.

It is an arithmetic number, because the mean of its divisors is an integer number (44654029056).

Almost surely, 2^{26802003271680} is an apocalyptic number.

26802003271680 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 26802003271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60015015051264).

26802003271680 is an abundant number, since it is smaller than the sum of its proper divisors (93228026830848).

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

26802003271680 is a wasteful number, since it uses less digits than its factorization.

26802003271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26802003271680 in words is "twenty-six trillion, eight hundred two billion, three million, two hundred seventy-one thousand, six hundred eighty".