1161401265600 has 336 divisors, whose sum is σ = 4185304385280. Its totient is φ = 280649318400.

The previous prime is 1161401265599. The next prime is 1161401265613. The reversal of 1161401265600 is 65621041611.

It is a congruent number.

It is an unprimeable number.

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, 1820760 + ... + 2374440.

Almost surely, 2^{1161401265600} is an apocalyptic number.

1161401265600 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 1161401265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092652192640).

1161401265600 is an abundant number, since it is smaller than the sum of its proper divisors (3023903119680).

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

1161401265600 is a wasteful number, since it uses less digits than its factorization.

1161401265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553748 (or 553733 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1161401265600 in words is "one trillion, one hundred sixty-one billion, four hundred one million, two hundred sixty-five thousand, six hundred".