26955627720 has 256 divisors, whose sum is σ = 98405798400. Its totient is φ = 5766266880.

The previous prime is 26955627701. The next prime is 26955627739. The reversal of 26955627720 is 2772655962.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26955627701) and next prime (26955627739).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2579466 + ... + 2589894.

It is an arithmetic number, because the mean of its divisors is an integer number (384397650).

Almost surely, 2^26955627720 is an apocalyptic number.

26955627720 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 26955627720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49202899200).

26955627720 is an abundant number, since it is smaller than the sum of its proper divisors (71450170680).

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

26955627720 is a wasteful number, since it uses less digits than its factorization.

26955627720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 26955627720 in words is "twenty-six billion, nine hundred fifty-five million, six hundred twenty-seven thousand, seven hundred twenty".