1160672430960 has 960 divisors, whose sum is σ = 4886052986880. Its totient is φ = 240789749760.

The previous prime is 1160672430913. The next prime is 1160672431001. The reversal of 1160672430960 is 690342760611.

1160672430960 is a `hidden beast` number, since 1 + 1 + 60 + 6 + 72 + 430 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1006653744 + ... + 1006654896.

It is an arithmetic number, because the mean of its divisors is an integer number (5089638528).

Almost surely, 2^{1160672430960} is an apocalyptic number.

1160672430960 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 1160672430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443026493440).

1160672430960 is an abundant number, since it is smaller than the sum of its proper divisors (3725380555920).

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

1160672430960 is a wasteful number, since it uses less digits than its factorization.

1160672430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1160672430960 in words is "one trillion, one hundred sixty billion, six hundred seventy-two million, four hundred thirty thousand, nine hundred sixty".