26688580380000 has 5760 divisors, whose sum is σ = 132680888524800. Its totient is φ = 5093383680000.

The previous prime is 26688580379987. The next prime is 26688580380019. The reversal of 26688580380000 is 8308588662.

26688580380000 is a `hidden beast` number, since 26 + 6 + 8 + 8 + 580 + 38 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 452348819971 + ... + 452348820029.

It is an arithmetic number, because the mean of its divisors is an integer number (23034876480).

Almost surely, 2^{26688580380000} is an apocalyptic number.

26688580380000 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 26688580380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66340444262400).

26688580380000 is an abundant number, since it is smaller than the sum of its proper divisors (105992308144800).

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

26688580380000 is a wasteful number, since it uses less digits than its factorization.

26688580380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 26688580380000 in words is "twenty-six trillion, six hundred eighty-eight billion, five hundred eighty million, three hundred eighty thousand".