1167036788160 has 336 divisors, whose sum is σ = 4193142280704. Its totient is φ = 297359529984.

The previous prime is 1167036788153. The next prime is 1167036788171. The reversal of 1167036788160 is 618876307611.

1167036788160 is a `hidden beast` number, since 116 + 7 + 0 + 367 + 8 + 8 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1167036788097 and 1167036788106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65104959 + ... + 65122881.

Almost surely, 2^{1167036788160} is an apocalyptic number.

1167036788160 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 1167036788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096571140352).

1167036788160 is an abundant number, since it is smaller than the sum of its proper divisors (3026105492544).

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

1167036788160 is a wasteful number, since it uses less digits than its factorization.

1167036788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952 (or 18939 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1167036788160 in words is "one trillion, one hundred sixty-seven billion, thirty-six million, seven hundred eighty-eight thousand, one hundred sixty".