11199664079280 has 240 divisors, whose sum is σ = 38233602785664. Its totient is φ = 2937247672320.

The previous prime is 11199664079257. The next prime is 11199664079297. The reversal of 11199664079280 is 8297046699111.

11199664079280 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 9 + 66 + 407 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×11199664079280³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646361977 + ... + 646379303.

Almost surely, 2^{11199664079280} is an apocalyptic number.

11199664079280 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 11199664079280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116801392832).

11199664079280 is an abundant number, since it is smaller than the sum of its proper divisors (27033938706384).

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

11199664079280 is a wasteful number, since it uses less digits than its factorization.

11199664079280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32124 (or 32115 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 11199664079280 in words is "eleven trillion, one hundred ninety-nine billion, six hundred sixty-four million, seventy-nine thousand, two hundred eighty".