26836420800 has 672 divisors, whose sum is σ = 107076321280. Its totient is φ = 5748019200.

The previous prime is 26836420777. The next prime is 26836420841. The reversal of 26836420800 is 802463862.

It is a tau number, because it is divible by the number of its divisors (672).

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, 81076635 + ... + 81076965.

Almost surely, 2^26836420800 is an apocalyptic number.

26836420800 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 26836420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53538160640).

26836420800 is an abundant number, since it is smaller than the sum of its proper divisors (80239900480).

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

26836420800 is a wasteful number, since it uses less digits than its factorization.

26836420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 26836420800 in words is "twenty-six billion, eight hundred thirty-six million, four hundred twenty thousand, eight hundred".