1185963160320 has 432 divisors, whose sum is σ = 4153522464000. Its totient is φ = 312402714624.

The previous prime is 1185963160307. The next prime is 1185963160321. The reversal of 1185963160320 is 230613695811.

1185963160320 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 9 + 6 + 31 + 603 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1185963160321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592092439 + ... + 592094441.

Almost surely, 2^{1185963160320} is an apocalyptic number.

1185963160320 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 1185963160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076761232000).

1185963160320 is an abundant number, since it is smaller than the sum of its proper divisors (2967559303680).

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

1185963160320 is a wasteful number, since it uses less digits than its factorization.

1185963160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1185963160320 in words is "one trillion, one hundred eighty-five billion, nine hundred sixty-three million, one hundred sixty thousand, three hundred twenty".