11276798400 has 672 divisors, whose sum is σ = 47621952000. Its totient is φ = 2542510080.

The previous prime is 11276798399. The next prime is 11276798417. The reversal of 11276798400 is 489767211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26913391 + ... + 26913809.

It is an arithmetic number, because the mean of its divisors is an integer number (70866000).

Almost surely, 2^11276798400 is an apocalyptic number.

11276798400 is a gapful number since it is divisible by the number (10) 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 11276798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976000).

11276798400 is an abundant number, since it is smaller than the sum of its proper divisors (36345153600).

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

11276798400 is a wasteful number, since it uses less digits than its factorization.

11276798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11276798400 in words is "eleven billion, two hundred seventy-six million, seven hundred ninety-eight thousand, four hundred".