11817870704640 has 2880 divisors, whose sum is σ = 56059691950080. Its totient is φ = 2223589294080.

The previous prime is 11817870704621. The next prime is 11817870704663. The reversal of 11817870704640 is 4640707871811.

11817870704640 is a `hidden beast` number, since 1 + 1 + 8 + 178 + 7 + 0 + 7 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49447157641 + ... + 49447157879.

It is an arithmetic number, because the mean of its divisors is an integer number (19465170816).

Almost surely, 2^{11817870704640} is an apocalyptic number.

11817870704640 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 11817870704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029845975040).

11817870704640 is an abundant number, since it is smaller than the sum of its proper divisors (44241821245440).

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

11817870704640 is a wasteful number, since it uses less digits than its factorization.

11817870704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

It can be divided in two parts, 11817870 and 704640, that added together give a triangular number (12522510 = T₅₀₀₄).

The spelling of 11817870704640 in words is "eleven trillion, eight hundred seventeen billion, eight hundred seventy million, seven hundred four thousand, six hundred forty".