1160827575840 has 240 divisors, whose sum is σ = 4123891759680. Its totient is φ = 307503475200.

The previous prime is 1160827575827. The next prime is 1160827575863. The reversal of 1160827575840 is 485757280611.

1160827575840 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 8 + 2 + 7 + 57 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 1660371 + ... + 2253549.

It is an arithmetic number, because the mean of its divisors is an integer number (17182882332).

Almost surely, 2^{1160827575840} is an apocalyptic number.

1160827575840 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 1160827575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061945879840).

1160827575840 is an abundant number, since it is smaller than the sum of its proper divisors (2963064183840).

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

1160827575840 is a wasteful number, since it uses less digits than its factorization.

1160827575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593357 (or 593340 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 1160827575840 in words is "one trillion, one hundred sixty billion, eight hundred twenty-seven million, five hundred seventy-five thousand, eight hundred forty".