26077600900 has 72 divisors (see below), whose sum is σ = 61020235080. Its totient is φ = 9616189440.

The previous prime is 26077600817. The next prime is 26077600903. The reversal of 26077600900 is 900677062.

It can be written as a sum of positive squares in 12 ways, for example, as 15318517824 + 10759083076 = 123768^2 + 103726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26077600900.

It is not an unprimeable number, because it can be changed into a prime (26077600903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023516 + ... + 1048684.

It is an arithmetic number, because the mean of its divisors is an integer number (847503265).

Almost surely, 2^26077600900 is an apocalyptic number.

26077600900 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 26077600900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510117540).

26077600900 is an abundant number, since it is smaller than the sum of its proper divisors (34942634180).

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

26077600900 is a wasteful number, since it uses less digits than its factorization.

26077600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25993 (or 25986 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 26077600900 in words is "twenty-six billion, seventy-seven million, six hundred thousand, nine hundred".