1165728153600 has 882 divisors, whose sum is σ = 4405581574646. Its totient is φ = 305764761600.

The previous prime is 1165728153563. The next prime is 1165728153677. The reversal of 1165728153600 is 63518275611.

1165728153600 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 28 + 15 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3057647616 + 1162670505984 = 55296^2 + 1078272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 19110297570 + ... + 19110297630.

Almost surely, 2^{1165728153600} is an apocalyptic number.

1165728153600 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 1165728153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202790787323).

1165728153600 is an abundant number, since it is smaller than the sum of its proper divisors (3239853421046).

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

1165728153600 is an frugal number, since it uses more digits than its factorization.

1165728153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1165728153600 in words is "one trillion, one hundred sixty-five billion, seven hundred twenty-eight million, one hundred fifty-three thousand, six hundred".