26946781650432 has 400 divisors, whose sum is σ = 92046068674560. Its totient is φ = 7688430047232.

The previous prime is 26946781650379. The next prime is 26946781650491. The reversal of 26946781650432 is 23405618764962.

26946781650432 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 67 + 81 + 65 + 0 + 432 = 666.

It is a super-2 number, since 2×26946781650432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 26946781650432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210987169 + ... + 211114847.

It is a 1-persistent number, because it is pandigital, but 2⋅26946781650432 = 53893563300864 is not.

Almost surely, 2^{26946781650432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26946781650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46023034337280).

26946781650432 is an abundant number, since it is smaller than the sum of its proper divisors (65099287024128).

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

26946781650432 is an equidigital number, since it uses as much as digits as its factorization.

26946781650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128443 (or 128418 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 26946781650432 in words is "twenty-six trillion, nine hundred forty-six billion, seven hundred eighty-one million, six hundred fifty thousand, four hundred thirty-two".