26712685440000 has 1100 divisors, whose sum is σ = 113921226150864. Its totient is φ = 6105673728000.

The previous prime is 26712685439977. The next prime is 26712685440017. The reversal of 26712685440000 is 4458621762.

26712685440000 is a `hidden beast` number, since 2 + 6 + 7 + 126 + 85 + 440 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362843194 + ... + 362916806.

Almost surely, 2^{26712685440000} is an apocalyptic number.

26712685440000 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 26712685440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960613075432).

26712685440000 is an abundant number, since it is smaller than the sum of its proper divisors (87208540710864).

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

26712685440000 is an frugal number, since it uses more digits than its factorization.

26712685440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73672 (or 73630 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26712685440000 in words is "twenty-six trillion, seven hundred twelve billion, six hundred eighty-five million, four hundred forty thousand".