1161760760400 has 240 divisors, whose sum is σ = 3790794427200. Its totient is φ = 304088186880.

The previous prime is 1161760760383. The next prime is 1161760760411. The reversal of 1161760760400 is 40670671611.

It is a tau number, because it is divible by the number of its divisors (240).

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, 13954096 + ... + 14037104.

It is an arithmetic number, because the mean of its divisors is an integer number (15794976780).

Almost surely, 2^{1161760760400} is an apocalyptic number.

1161760760400 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 1161760760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895397213600).

1161760760400 is an abundant number, since it is smaller than the sum of its proper divisors (2629033666800).

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

1161760760400 is a wasteful number, since it uses less digits than its factorization.

1161760760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83246 (or 83235 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1161760760400 in words is "one trillion, one hundred sixty-one billion, seven hundred sixty million, seven hundred sixty thousand, four hundred".