1159227520416 has 384 divisors, whose sum is σ = 3968285368320. Its totient is φ = 322355635200.

The previous prime is 1159227520403. The next prime is 1159227520439. The reversal of 1159227520416 is 6140257229511.

1159227520416 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 227 + 5 + 2 + 0 + 416 = 666.

It is a super-3 number, since 3×1159227520416³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51439071 + ... + 51461601.

It is an arithmetic number, because the mean of its divisors is an integer number (10334076480).

Almost surely, 2^{1159227520416} is an apocalyptic number.

1159227520416 is a gapful number since it is divisible by the number (16) 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 1159227520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984142684160).

1159227520416 is an abundant number, since it is smaller than the sum of its proper divisors (2809057847904).

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

1159227520416 is a wasteful number, since it uses less digits than its factorization.

1159227520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22785 (or 22771 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1159227520416 in words is "one trillion, one hundred fifty-nine billion, two hundred twenty-seven million, five hundred twenty thousand, four hundred sixteen".