1161359282160 has 1200 divisors, whose sum is σ = 5008092541920. Its totient is φ = 239167918080.

The previous prime is 1161359282137. The next prime is 1161359282183. The reversal of 1161359282160 is 612829531611.

It is a happy number.

1161359282160 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 359 + 282 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1161359282137) and next prime (1161359282183).

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 239 ways as a sum of consecutive naturals, for example, 2985499246 + ... + 2985499634.

Almost surely, 2^{1161359282160} is an apocalyptic number.

1161359282160 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 1161359282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504046270960).

1161359282160 is an abundant number, since it is smaller than the sum of its proper divisors (3846733259760).

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

1161359282160 is a wasteful number, since it uses less digits than its factorization.

1161359282160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1161359282160 in words is "one trillion, one hundred sixty-one billion, three hundred fifty-nine million, two hundred eighty-two thousand, one hundred sixty".