26127891638640 has 800 divisors, whose sum is σ = 100647416795904. Its totient is φ = 6228681338880.

The previous prime is 26127891638617. The next prime is 26127891638677. The reversal of 26127891638640 is 4683619872162.

26127891638640 is a `hidden beast` number, since 2 + 6 + 127 + 8 + 91 + 6 + 386 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2946639487 + ... + 2946648353.

Almost surely, 2^{26127891638640} is an apocalyptic number.

26127891638640 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 26127891638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50323708397952).

26127891638640 is an abundant number, since it is smaller than the sum of its proper divisors (74519525157264).

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

26127891638640 is a wasteful number, since it uses less digits than its factorization.

26127891638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 26127891638640 in words is "twenty-six trillion, one hundred twenty-seven billion, eight hundred ninety-one million, six hundred thirty-eight thousand, six hundred forty".