26902997479680 has 288 divisors, whose sum is σ = 99168187845888. Its totient is φ = 6088372224000.

The previous prime is 26902997479679. The next prime is 26902997479769. The reversal of 26902997479680 is 8697479920962.

It is a junction number, because it is equal to n+sod(n) for n = 26902997479596 and 26902997479605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239851 + ... + 7669610.

It is an arithmetic number, because the mean of its divisors is an integer number (344333985576).

Almost surely, 2^{26902997479680} is an apocalyptic number.

26902997479680 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 26902997479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49584093922944).

26902997479680 is an abundant number, since it is smaller than the sum of its proper divisors (72265190366208).

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

26902997479680 is a wasteful number, since it uses less digits than its factorization.

26902997479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909593 (or 9909579 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 78.

The spelling of 26902997479680 in words is "twenty-six trillion, nine hundred two billion, nine hundred ninety-seven million, four hundred seventy-nine thousand, six hundred eighty".