11359478180160 has 2520 divisors, whose sum is σ = 47842835927040. Its totient is φ = 2555569336320.

The previous prime is 11359478180129. The next prime is 11359478180189. The reversal of 11359478180160 is 6108187495311.

11359478180160 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 9 + 478 + 1 + 8 + 0 + 160 = 666.

It is a super-2 number, since 2×11359478180160² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11359478180097 and 11359478180106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 89444710017 + ... + 89444710143.

It is an arithmetic number, because the mean of its divisors is an integer number (18985252352).

Almost surely, 2^{11359478180160} is an apocalyptic number.

11359478180160 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 11359478180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23921417963520).

11359478180160 is an abundant number, since it is smaller than the sum of its proper divisors (36483357746880).

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

11359478180160 is a wasteful number, since it uses less digits than its factorization.

11359478180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11359478180160 in words is "eleven trillion, three hundred fifty-nine billion, four hundred seventy-eight million, one hundred eighty thousand, one hundred sixty".