1167891449760 has 1920 divisors, whose sum is σ = 5247941529600. Its totient is φ = 238460682240.

The previous prime is 1167891449759. The next prime is 1167891449773. The reversal of 1167891449760 is 679441987611.

1167891449760 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 89 + 1 + 4 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3528372795 + ... + 3528373125.

It is an arithmetic number, because the mean of its divisors is an integer number (2733302880).

Almost surely, 2^{1167891449760} is an apocalyptic number.

1167891449760 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 1167891449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623970764800).

1167891449760 is an abundant number, since it is smaller than the sum of its proper divisors (4080050079840).

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

1167891449760 is a wasteful number, since it uses less digits than its factorization.

1167891449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1167891449760 in words is "one trillion, one hundred sixty-seven billion, eight hundred ninety-one million, four hundred forty-nine thousand, seven hundred sixty".