1161120692160 has 840 divisors, whose sum is σ = 4879256816016. Its totient is φ = 259820421120.

The previous prime is 1161120692131. The next prime is 1161120692161. The reversal of 1161120692160 is 612960211611.

1161120692160 is a `hidden beast` number, since 1 + 1 + 611 + 20 + 6 + 9 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161120692161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48173232 + ... + 48197328.

Almost surely, 2^{1161120692160} is an apocalyptic number.

1161120692160 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 1161120692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439628408008).

1161120692160 is an abundant number, since it is smaller than the sum of its proper divisors (3718136123856).

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

1161120692160 is a wasteful number, since it uses less digits than its factorization.

1161120692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1161120692160 in words is "one trillion, one hundred sixty-one billion, one hundred twenty million, six hundred ninety-two thousand, one hundred sixty".