1167065444160 has 3360 divisors, whose sum is σ = 5721362760960. Its totient is φ = 220140011520.

The previous prime is 1167065444147. The next prime is 1167065444173. The reversal of 1167065444160 is 614445607611.

1167065444160 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 0 + 6 + 544 + 41 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1167065444147) and next prime (1167065444173).

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19780770211 + ... + 19780770269.

It is an arithmetic number, because the mean of its divisors is an integer number (1702786536).

Almost surely, 2^{1167065444160} is an apocalyptic number.

1167065444160 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 1167065444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860681380480).

1167065444160 is an abundant number, since it is smaller than the sum of its proper divisors (4554297316800).

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

1167065444160 is a wasteful number, since it uses less digits than its factorization.

1167065444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1167065444160 in words is "one trillion, one hundred sixty-seven billion, sixty-five million, four hundred forty-four thousand, one hundred sixty".