11775295043832 has 128 divisors (see below), whose sum is σ = 31453603891200. Its totient is φ = 3662608295808.

The previous prime is 11775295043791. The next prime is 11775295043843. The reversal of 11775295043832 is 23834059257711.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396152923 + ... + 396182645.

It is an arithmetic number, because the mean of its divisors is an integer number (245731280400).

Almost surely, 2^{11775295043832} is an apocalyptic number.

11775295043832 is a gapful number since it is divisible by the number (12) 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 11775295043832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726801945600).

11775295043832 is an abundant number, since it is smaller than the sum of its proper divisors (19678308847368).

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

11775295043832 is a wasteful number, since it uses less digits than its factorization.

11775295043832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42785 (or 42781 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 11775295043832 in words is "eleven trillion, seven hundred seventy-five billion, two hundred ninety-five million, forty-three thousand, eight hundred thirty-two".