1159085294640 has 1440 divisors, whose sum is σ = 5216900846976. Its totient is φ = 224404439040.

The previous prime is 1159085294617. The next prime is 1159085294659. The reversal of 1159085294640 is 464925809511.

1159085294640 is a `hidden beast` number, since 1 + 1 + 59 + 0 + 8 + 529 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×1159085294640² (a number of 25 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 776345734 + ... + 776347226.

Almost surely, 2^{1159085294640} is an apocalyptic number.

1159085294640 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 1159085294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608450423488).

1159085294640 is an abundant number, since it is smaller than the sum of its proper divisors (4057815552336).

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

1159085294640 is a wasteful number, since it uses less digits than its factorization.

1159085294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1159085294640 in words is "one trillion, one hundred fifty-nine billion, eighty-five million, two hundred ninety-four thousand, six hundred forty".