1161007011360 has 576 divisors, whose sum is σ = 5005028931840. Its totient is φ = 249762078720.

The previous prime is 1161007011319. The next prime is 1161007011379. The reversal of 1161007011360 is 631107001611.

1161007011360 is a `hidden beast` number, since 1 + 1 + 610 + 0 + 7 + 0 + 11 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437245 + ... + 3759875.

It is an arithmetic number, because the mean of its divisors is an integer number (8689286340).

Almost surely, 2^{1161007011360} is an apocalyptic number.

1161007011360 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 1161007011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502514465920).

1161007011360 is an abundant number, since it is smaller than the sum of its proper divisors (3844021920480).

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

1161007011360 is a wasteful number, since it uses less digits than its factorization.

1161007011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322686 (or 322665 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 1161007011360 in words is "one trillion, one hundred sixty-one billion, seven million, eleven thousand, three hundred sixty".