1159071621120 has 1344 divisors, whose sum is σ = 4875942536640. Its totient is φ = 260409655296.

The previous prime is 1159071621119. The next prime is 1159071621133. The reversal of 1159071621120 is 211261709511.

1159071621120 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 7 + 1 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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, 3955875694 + ... + 3955875986.

It is an arithmetic number, because the mean of its divisors is an integer number (3627933435).

Almost surely, 2^{1159071621120} is an apocalyptic number.

1159071621120 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 1159071621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437971268320).

1159071621120 is an abundant number, since it is smaller than the sum of its proper divisors (3716870915520).

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

1159071621120 is an equidigital number, since it uses as much as digits as its factorization.

1159071621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 1159071621120 in words is "one trillion, one hundred fifty-nine billion, seventy-one million, six hundred twenty-one thousand, one hundred twenty".