1159903027200 has 672 divisors, whose sum is σ = 4056483225600. Its totient is φ = 291833118720.

The previous prime is 1159903027189. The next prime is 1159903027201. The reversal of 1159903027200 is 27203099511.

It is not an unprimeable number, because it can be changed into a prime (1159903027201) 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, 1116364281 + ... + 1116365319.

Almost surely, 2^{1159903027200} is an apocalyptic number.

1159903027200 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 1159903027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028241612800).

1159903027200 is an abundant number, since it is smaller than the sum of its proper divisors (2896580198400).

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

1159903027200 is a wasteful number, since it uses less digits than its factorization.

1159903027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 1159903027200 in words is "one trillion, one hundred fifty-nine billion, nine hundred three million, twenty-seven thousand, two hundred".