26179200000 has 660 divisors, whose sum is σ = 98681473044. Its totient is φ = 6912000000.

The previous prime is 26179199999. The next prime is 26179200049. The reversal of 26179200000 is 297162.

It can be written as a sum of positive squares in 6 ways, for example, as 14701077504 + 11478122496 = 121248^2 + 107136^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 259199950 + ... + 259200050.

Almost surely, 2^26179200000 is an apocalyptic number.

26179200000 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 26179200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49340736522).

26179200000 is an abundant number, since it is smaller than the sum of its proper divisors (72502273044).

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

26179200000 is an frugal number, since it uses more digits than its factorization.

26179200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 26179200000 its reverse (297162), we get a palindrome (26179497162).

The spelling of 26179200000 in words is "twenty-six billion, one hundred seventy-nine million, two hundred thousand".