1165711680 has 336 divisors, whose sum is σ = 4673096064. Its totient is φ = 261181440.

The previous prime is 1165711663. The next prime is 1165711699. The reversal of 1165711680 is 861175611.

1165711680 is a `hidden beast` number, since 1 + 1 + 6 + 571 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067935 + ... + 1069025.

It is an arithmetic number, because the mean of its divisors is an integer number (13908024).

Almost surely, 2^1165711680 is an apocalyptic number.

1165711680 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 1165711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336548032).

1165711680 is an abundant number, since it is smaller than the sum of its proper divisors (3507384384).

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

1165711680 is a wasteful number, since it uses less digits than its factorization.

1165711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1165711680 is about 34142.5201178823. The cubic root of 1165711680 is about 1052.4392812376.

The spelling of 1165711680 in words is "one billion, one hundred sixty-five million, seven hundred eleven thousand, six hundred eighty".