1155235582080 has 640 divisors, whose sum is σ = 4428319967280. Its totient is φ = 285953753088.

The previous prime is 1155235582009. The next prime is 1155235582121. The reversal of 1155235582080 is 802855325511.

1155235582080 is a `hidden beast` number, since 1 + 1 + 55 + 23 + 558 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1061114250816 + 94121331264 = 1030104^2 + 306792^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64324462 + ... + 64342418.

Almost surely, 2^{1155235582080} is an apocalyptic number.

1155235582080 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 1155235582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214159983640).

1155235582080 is an abundant number, since it is smaller than the sum of its proper divisors (3273084385200).

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

1155235582080 is a wasteful number, since it uses less digits than its factorization.

1155235582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 1155235582080 in words is "one trillion, one hundred fifty-five billion, two hundred thirty-five million, five hundred eighty-two thousand, eighty".