1170161427600 has 675 divisors, whose sum is σ = 4497015947515. Its totient is φ = 281771635200.

The previous prime is 1170161427587. The next prime is 1170161427629. The reversal of 1170161427600 is 67241610711.

The square root of 1170161427600 is 1081740.

It is a perfect power (a square), and thus also a powerful number.

1170161427600 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 1 + 6 + 1 + 42 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349238449296 + 820922978304 = 590964^2 + 906048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7853432326 + ... + 7853432474.

Almost surely, 2^{1170161427600} is an apocalyptic number.

1170161427600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1170161427600 is the 1081740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1170161427600

1170161427600 is an abundant number, since it is smaller than the sum of its proper divisors (3326854519915).

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

1170161427600 is an equidigital number, since it uses as much as digits as its factorization.

1170161427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 1170161427600 by its sum of digits (36), we get a square (42125811393600 = 6490440²).

1170161427600 divided by its sum of digits (36) gives a square (32504484100 = 180290²).

The spelling of 1170161427600 in words is "one trillion, one hundred seventy billion, one hundred sixty-one million, four hundred twenty-seven thousand, six hundred".