1165653552960 has 336 divisors, whose sum is σ = 4434476928336. Its totient is φ = 279174905856.

The previous prime is 1165653552913. The next prime is 1165653552961. The reversal of 1165653552960 is 692553565611.

1165653552960 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 53 + 5 + 529 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 102164615424 + 1063488937536 = 319632^2 + 1031256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1165653552897 and 1165653552906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165653552961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964552 + ... + 1806008.

It is an arithmetic number, because the mean of its divisors is an integer number (13197848001).

Almost surely, 2^{1165653552960} is an apocalyptic number.

1165653552960 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 1165653552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217238464168).

1165653552960 is an abundant number, since it is smaller than the sum of its proper divisors (3268823375376).

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

1165653552960 is a wasteful number, since it uses less digits than its factorization.

1165653552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841530 (or 841517 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 1165653552960 in words is "one trillion, one hundred sixty-five billion, six hundred fifty-three million, five hundred fifty-two thousand, nine hundred sixty".