11179631445840 has 960 divisors, whose sum is σ = 45609373313280. Its totient is φ = 2495078277120.

The previous prime is 11179631445757. The next prime is 11179631445877. The reversal of 11179631445840 is 4854413697111.

11179631445840 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 96 + 31 + 445 + 84 + 0 = 666.

11179631445840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 1594126174 + ... + 1594133186.

It is an arithmetic number, because the mean of its divisors is an integer number (47509763868).

Almost surely, 2^{11179631445840} is an apocalyptic number.

11179631445840 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 11179631445840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804686656640).

11179631445840 is an abundant number, since it is smaller than the sum of its proper divisors (34429741867440).

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

11179631445840 is a wasteful number, since it uses less digits than its factorization.

11179631445840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11179631445840 in words is "eleven trillion, one hundred seventy-nine billion, six hundred thirty-one million, four hundred forty-five thousand, eight hundred forty".