1155173564160 has 3456 divisors, whose sum is σ = 5678879539200. Its totient is φ = 216782438400.

The previous prime is 1155173564119. The next prime is 1155173564177. The reversal of 1155173564160 is 614653715511.

1155173564160 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 73 + 564 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 17241396447 + ... + 17241396513.

Almost surely, 2^{1155173564160} is an apocalyptic number.

1155173564160 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 1155173564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839439769600).

1155173564160 is an abundant number, since it is smaller than the sum of its proper divisors (4523705975040).

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

1155173564160 is a wasteful number, since it uses less digits than its factorization.

1155173564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 1155173564160 in words is "one trillion, one hundred fifty-five billion, one hundred seventy-three million, five hundred sixty-four thousand, one hundred sixty".