26769600000 has 1080 divisors, whose sum is σ = 114073183224. Its totient is φ = 5990400000.

The previous prime is 26769599999. The next prime is 26769600037. The reversal of 26769600000 is 696762.

It is a super-2 number, since 2×26769600000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2059199994 + ... + 2059200006.

Almost surely, 2^26769600000 is an apocalyptic number.

26769600000 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 26769600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57036591612).

26769600000 is an abundant number, since it is smaller than the sum of its proper divisors (87303583224).

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

26769600000 is an equidigital number, since it uses as much as digits as its factorization.

26769600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 26769600000 in words is "twenty-six billion, seven hundred sixty-nine million, six hundred thousand".