1159515725760 has 1120 divisors, whose sum is σ = 4928897635200. Its totient is φ = 258486681600.

The previous prime is 1159515725701. The next prime is 1159515725789. The reversal of 1159515725760 is 675275159511.

1159515725760 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 5 + 1 + 572 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 1159515725697 and 1159515725706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 364511370 + ... + 364514550.

It is an arithmetic number, because the mean of its divisors is an integer number (4400801460).

Almost surely, 2^{1159515725760} is an apocalyptic number.

1159515725760 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 1159515725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464448817600).

1159515725760 is an abundant number, since it is smaller than the sum of its proper divisors (3769381909440).

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

1159515725760 is an equidigital number, since it uses as much as digits as its factorization.

1159515725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 54.

The spelling of 1159515725760 in words is "one trillion, one hundred fifty-nine billion, five hundred fifteen million, seven hundred twenty-five thousand, seven hundred sixty".