10966278400 has 729 divisors, whose sum is σ = 36867820647. Its totient is φ = 3216998400.

The previous prime is 10966278397. The next prime is 10966278409. The reversal of 10966278400 is 487266901.

The square root of 10966278400 is 104720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 256512256 + 10709766144 = 16016^2 + 103488^2 .

It is not an unprimeable number, because it can be changed into a prime (10966278409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 645075192 + ... + 645075208.

Almost surely, 2^10966278400 is an apocalyptic number.

10966278400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10966278400 is the 104720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10966278400

10966278400 is an abundant number, since it is smaller than the sum of its proper divisors (25901542247).

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

10966278400 is a wasteful number, since it uses less digits than its factorization.

10966278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 10966278400 in words is "ten billion, nine hundred sixty-six million, two hundred seventy-eight thousand, four hundred".