11279976345000 has 720 divisors, whose sum is σ = 42650314046340. Its totient is φ = 2689632000000.

The previous prime is 11279976344999. The next prime is 11279976345107. The reversal of 11279976345000 is 54367997211.

11279976345000 is a `hidden beast` number, since 1 + 1 + 2 + 79 + 9 + 7 + 63 + 4 + 500 + 0 = 666.

11279976345000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 6556682602404 + 4723293742596 = 2560602^2 + 2173314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 332128020 + ... + 332161980.

Almost surely, 2^{11279976345000} is an apocalyptic number.

11279976345000 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 11279976345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21325157023170).

11279976345000 is an abundant number, since it is smaller than the sum of its proper divisors (31370337701340).

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

11279976345000 is a wasteful number, since it uses less digits than its factorization.

11279976345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34076 (or 34043 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 11279976345000 in words is "eleven trillion, two hundred seventy-nine billion, nine hundred seventy-six million, three hundred forty-five thousand".