11145072827160 has 64 divisors (see below), whose sum is σ = 37150242760800. Its totient is φ = 2972019420288.

The previous prime is 11145072827143. The next prime is 11145072827173. The reversal of 11145072827160 is 6172827054111.

11145072827160 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 507 + 2 + 82 + 7 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5159754859 + ... + 5159757018.

Almost surely, 2^{11145072827160} is an apocalyptic number.

11145072827160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145072827160 is an abundant number, since it is smaller than the sum of its proper divisors (26005169933640).

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

11145072827160 is a wasteful number, since it uses less digits than its factorization.

11145072827160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319511897 (or 10319511887 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11145072827160 in words is "eleven trillion, one hundred forty-five billion, seventy-two million, eight hundred twenty-seven thousand, one hundred sixty".