26698351680 has 1680 divisors, whose sum is σ = 130520505024. Its totient is φ = 5120962560.

The previous prime is 26698351679. The next prime is 26698351697. The reversal of 26698351680 is 8615389662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2053719354 + ... + 2053719366.

Almost surely, 2^26698351680 is an apocalyptic number.

26698351680 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 26698351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65260252512).

26698351680 is an abundant number, since it is smaller than the sum of its proper divisors (103822153344).

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

26698351680 is an equidigital number, since it uses as much as digits as its factorization.

26698351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 26698351680 in words is "twenty-six billion, six hundred ninety-eight million, three hundred fifty-one thousand, six hundred eighty".