1165823705088 has 864 divisors, whose sum is σ = 4116861443520. Its totient is φ = 329079324672.

The previous prime is 1165823704943. The next prime is 1165823705113. The reversal of 1165823705088 is 8805073285611.

1165823705088 is a `hidden beast` number, since 1 + 1 + 6 + 582 + 3 + 7 + 0 + 50 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1165823705088² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14046068695 + ... + 14046068777.

It is an arithmetic number, because the mean of its divisors is an integer number (4764885930).

Almost surely, 2^{1165823705088} is an apocalyptic number.

1165823705088 is a gapful number since it is divisible by the number (18) 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 1165823705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058430721760).

1165823705088 is an abundant number, since it is smaller than the sum of its proper divisors (2951037738432).

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

1165823705088 is an frugal number, since it uses more digits than its factorization.

1165823705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1165823705088 in words is "one trillion, one hundred sixty-five billion, eight hundred twenty-three million, seven hundred five thousand, eighty-eight".