26796956760 has 512 divisors, whose sum is σ = 106444800000. Its totient is φ = 5867458560.

The previous prime is 26796956759. The next prime is 26796956761. The reversal of 26796956760 is 6765969762.

26796956760 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 6 + 9 + 567 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (26796956759) and next prime (26796956761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26796956761) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25544716 + ... + 25545764.

It is an arithmetic number, because the mean of its divisors is an integer number (207900000).

Almost surely, 2^26796956760 is an apocalyptic number.

26796956760 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 26796956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400000).

26796956760 is an abundant number, since it is smaller than the sum of its proper divisors (79647843240).

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

26796956760 is a wasteful number, since it uses less digits than its factorization.

26796956760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 26796956760 in words is "twenty-six billion, seven hundred ninety-six million, nine hundred fifty-six thousand, seven hundred sixty".