11895686090316 has 144 divisors (see below), whose sum is σ = 36845497634400. Its totient is φ = 3306908820096.

The previous prime is 11895686090287. The next prime is 11895686090317. The reversal of 11895686090316 is 61309068659811.

11895686090316 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 5 + 6 + 8 + 609 + 0 + 3 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11895686090317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30180711 + ... + 30572318.

It is an arithmetic number, because the mean of its divisors is an integer number (255871511350).

Almost surely, 2^{11895686090316} is an apocalyptic number.

It is an amenable number.

11895686090316 is an abundant number, since it is smaller than the sum of its proper divisors (24949811544084).

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

11895686090316 is a wasteful number, since it uses less digits than its factorization.

11895686090316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60753093 (or 60753078 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 11895686090316 in words is "eleven trillion, eight hundred ninety-five billion, six hundred eighty-six million, ninety thousand, three hundred sixteen".