26698672538880 has 288 divisors, whose sum is σ = 89997447872640. Its totient is φ = 6726838026240.

The previous prime is 26698672538809. The next prime is 26698672538893. The reversal of 26698672538880 is 8883527689662.

It is a happy number.

It is a super-2 number, since 2×26698672538880² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26698672538796 and 26698672538805.

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 31 ways as a sum of consecutive naturals, for example, 26723550 + ... + 27704610.

Almost surely, 2^{26698672538880} is an apocalyptic number.

26698672538880 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 26698672538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44998723936320).

26698672538880 is an abundant number, since it is smaller than the sum of its proper divisors (63298775333760).

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

26698672538880 is a wasteful number, since it uses less digits than its factorization.

26698672538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981477 (or 981463 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 78.

The spelling of 26698672538880 in words is "twenty-six trillion, six hundred ninety-eight billion, six hundred seventy-two million, five hundred thirty-eight thousand, eight hundred eighty".