26800769000 has 64 divisors (see below), whose sum is σ = 62757676800. Its totient is φ = 10712808000.

The previous prime is 26800768999. The next prime is 26800769027. The reversal of 26800769000 is 96700862.

It is a super-2 number, since 2×26800769000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550405 + ... + 1567595.

It is an arithmetic number, because the mean of its divisors is an integer number (980588700).

Almost surely, 2^26800769000 is an apocalyptic number.

26800769000 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 26800769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31378838400).

26800769000 is an abundant number, since it is smaller than the sum of its proper divisors (35956907800).

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

26800769000 is a wasteful number, since it uses less digits than its factorization.

26800769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18757 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 26800769000 in words is "twenty-six billion, eight hundred million, seven hundred sixty-nine thousand".