1165948742360 has 64 divisors (see below), whose sum is σ = 2659712630400. Its totient is φ = 459935064576.

The previous prime is 1165948742359. The next prime is 1165948742417. The reversal of 1165948742360 is 632478495611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1165948742296 and 1165948742305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479202 + ... + 2911758.

It is an arithmetic number, because the mean of its divisors is an integer number (41558009850).

It is a 1-persistent number, because it is pandigital, but 2⋅1165948742360 = 2331897484720 is not.

Almost surely, 2^{1165948742360} is an apocalyptic number.

1165948742360 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 1165948742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329856315200).

1165948742360 is an abundant number, since it is smaller than the sum of its proper divisors (1493763888040).

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

1165948742360 is a wasteful number, since it uses less digits than its factorization.

1165948742360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433500 (or 433496 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 1165948742360 in words is "one trillion, one hundred sixty-five billion, nine hundred forty-eight million, seven hundred forty-two thousand, three hundred sixty".