11509860963006 has 120 divisors (see below), whose sum is σ = 31305732947280. Its totient is φ = 3145552014528.

The previous prime is 11509860962981. The next prime is 11509860963047. The reversal of 11509860963006 is 60036906890511.

11509860963006 is a `hidden beast` number, since 11 + 509 + 8 + 6 + 0 + 96 + 30 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31338511 + ... + 31703658.

It is an arithmetic number, because the mean of its divisors is an integer number (260881107894).

Almost surely, 2^{11509860963006} is an apocalyptic number.

11509860963006 is an abundant number, since it is smaller than the sum of its proper divisors (19795871984274).

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

11509860963006 is a wasteful number, since it uses less digits than its factorization.

11509860963006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63042220 (or 63042204 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11509860963006 in words is "eleven trillion, five hundred nine billion, eight hundred sixty million, nine hundred sixty-three thousand, six".