1159471618560 has 160 divisors (see below), whose sum is σ = 4118540057280. Its totient is φ = 309192413184.

The previous prime is 1159471618517. The next prime is 1159471618583. The reversal of 1159471618560 is 658161749511.

1159471618560 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 4 + 71 + 6 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1159471618560² (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 a junction number, because it is equal to n+sod(n) for n = 1159471618497 and 1159471618506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8318262 + ... + 8456501.

It is an arithmetic number, because the mean of its divisors is an integer number (25740875358).

Almost surely, 2^{1159471618560} is an apocalyptic number.

1159471618560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159471618560 is an abundant number, since it is smaller than the sum of its proper divisors (2959068438720).

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

1159471618560 is an equidigital number, since it uses as much as digits as its factorization.

1159471618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774795 (or 16774773 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 1159471618560 in words is "one trillion, one hundred fifty-nine billion, four hundred seventy-one million, six hundred eighteen thousand, five hundred sixty".