1161311827720 has 128 divisors (see below), whose sum is σ = 2872568292480. Its totient is φ = 419033088000.

The previous prime is 1161311827699. The next prime is 1161311827733. The reversal of 1161311827720 is 277281131611.

It is a super-2 number, since 2×1161311827720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45959890 + ... + 45985150.

It is an arithmetic number, because the mean of its divisors is an integer number (22441939785).

Almost surely, 2^{1161311827720} is an apocalyptic number.

1161311827720 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 1161311827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436284146240).

1161311827720 is an abundant number, since it is smaller than the sum of its proper divisors (1711256464760).

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

1161311827720 is a wasteful number, since it uses less digits than its factorization.

1161311827720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26087 (or 26083 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 1161311827720 in words is "one trillion, one hundred sixty-one billion, three hundred eleven million, eight hundred twenty-seven thousand, seven hundred twenty".