1165870970880 has 1728 divisors, whose sum is σ = 4926341216160. Its totient is φ = 234348871680.

The previous prime is 1165870970867. The next prime is 1165870970903. The reversal of 1165870970880 is 880790785611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6739138474 + ... + 6739138646.

Almost surely, 2^{1165870970880} is an apocalyptic number.

1165870970880 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 1165870970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463170608080).

1165870970880 is an abundant number, since it is smaller than the sum of its proper divisors (3760470245280).

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

1165870970880 is a wasteful number, since it uses less digits than its factorization.

1165870970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 60.

The spelling of 1165870970880 in words is "one trillion, one hundred sixty-five billion, eight hundred seventy million, nine hundred seventy thousand, eight hundred eighty".