11587880814048 has 864 divisors, whose sum is σ = 42415190842752. Its totient is φ = 2967019776000.

The previous prime is 11587880814017. The next prime is 11587880814053. The reversal of 11587880814048 is 84041808878511.

11587880814048 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 78 + 80 + 81 + 404 + 8 = 666.

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

It is a congruent number.

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, 9031862815 + ... + 9031864097.

It is an arithmetic number, because the mean of its divisors is an integer number (49091656068).

Almost surely, 2^{11587880814048} is an apocalyptic number.

11587880814048 is a gapful number since it is divisible by the number (18) 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 11587880814048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21207595421376).

11587880814048 is an abundant number, since it is smaller than the sum of its proper divisors (30827310028704).

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

11587880814048 is a wasteful number, since it uses less digits than its factorization.

11587880814048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 63.

The spelling of 11587880814048 in words is "eleven trillion, five hundred eighty-seven billion, eight hundred eighty million, eight hundred fourteen thousand, forty-eight".