11279368396800 has 2016 divisors, whose sum is σ = 48677798707200. Its totient is φ = 2440809676800.

The previous prime is 11279368396799. The next prime is 11279368396847. The reversal of 11279368396800 is 869386397211.

11279368396800 is a `hidden beast` number, since 1 + 1 + 27 + 93 + 68 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56680243101 + ... + 56680243299.

Almost surely, 2^{11279368396800} is an apocalyptic number.

11279368396800 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 11279368396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24338899353600).

11279368396800 is an abundant number, since it is smaller than the sum of its proper divisors (37398430310400).

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

11279368396800 is a wasteful number, since it uses less digits than its factorization.

11279368396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 11279368396800 in words is "eleven trillion, two hundred seventy-nine billion, three hundred sixty-eight million, three hundred ninety-six thousand, eight hundred".