26698420800 has 672 divisors, whose sum is σ = 102160425600. Its totient is φ = 6773760000.

The previous prime is 26698420799. The next prime is 26698420867. The reversal of 26698420800 is 802489662.

26698420800 is a `hidden beast` number, since 2 + 66 + 98 + 420 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126532695 + ... + 126532905.

Almost surely, 2^26698420800 is an apocalyptic number.

26698420800 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 26698420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51080212800).

26698420800 is an abundant number, since it is smaller than the sum of its proper divisors (75462004800).

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

26698420800 is a wasteful number, since it uses less digits than its factorization.

26698420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26698420800 in words is "twenty-six billion, six hundred ninety-eight million, four hundred twenty thousand, eight hundred".