26960052800 has 84 divisors (see below), whose sum is σ = 66385142820. Its totient is φ = 10776453120.

The previous prime is 26960052781. The next prime is 26960052809. The reversal of 26960052800 is 825006962.

It can be written as a sum of positive squares in 6 ways, for example, as 22052416 + 26938000384 = 4696^2 + 164128^2 .

It is not an unprimeable number, because it can be changed into a prime (26960052809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646116 + ... + 2656284.

Almost surely, 2^26960052800 is an apocalyptic number.

26960052800 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 26960052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33192571410).

26960052800 is an abundant number, since it is smaller than the sum of its proper divisors (39425090020).

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

26960052800 is a wasteful number, since it uses less digits than its factorization.

26960052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 26960052800 in words is "twenty-six billion, nine hundred sixty million, fifty-two thousand, eight hundred".