26677658920 has 80 divisors (see below), whose sum is σ = 66028245300. Its totient is φ = 9700753920.

The previous prime is 26677658893. The next prime is 26677658927. The reversal of 26677658920 is 2985677662.

It can be written as a sum of positive squares in 2 ways, for example, as 26525333956 + 152324964 = 162866^2 + 12342^2 .

It is not an unprimeable number, because it can be changed into a prime (26677658927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 562864 + ... + 608416.

Almost surely, 2^26677658920 is an apocalyptic number.

26677658920 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 26677658920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014122650).

26677658920 is an abundant number, since it is smaller than the sum of its proper divisors (39350586380).

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

26677658920 is an equidigital number, since it uses as much as digits as its factorization.

26677658920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45608 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 26677658920 in words is "twenty-six billion, six hundred seventy-seven million, six hundred fifty-eight thousand, nine hundred twenty".