1161518201600 has 432 divisors, whose sum is σ = 3003763830144. Its totient is φ = 444358656000.

The previous prime is 1161518201549. The next prime is 1161518201603. The reversal of 1161518201600 is 61028151611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1161518201603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4819577480 + ... + 4819577720.

Almost surely, 2^{1161518201600} is an apocalyptic number.

1161518201600 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 1161518201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501881915072).

1161518201600 is an abundant number, since it is smaller than the sum of its proper divisors (1842245628544).

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

1161518201600 is a wasteful number, since it uses less digits than its factorization.

1161518201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 1161518201600 in words is "one trillion, one hundred sixty-one billion, five hundred eighteen million, two hundred one thousand, six hundred".