11670718026240 has 3840 divisors, whose sum is σ = 55292845031424. Its totient is φ = 2207239372800.

The previous prime is 11670718026221. The next prime is 11670718026281. The reversal of 11670718026240 is 4262081707611.

11670718026240 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 0 + 7 + 18 + 0 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55311459735 + ... + 55311459945.

Almost surely, 2^{11670718026240} is an apocalyptic number.

11670718026240 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 11670718026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27646422515712).

11670718026240 is an abundant number, since it is smaller than the sum of its proper divisors (43622127005184).

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

11670718026240 is a wasteful number, since it uses less digits than its factorization.

11670718026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11670718026240 in words is "eleven trillion, six hundred seventy billion, seven hundred eighteen million, twenty-six thousand, two hundred forty".