1159930428480 has 1344 divisors, whose sum is σ = 4637268652800. Its totient is φ = 272718876672.

The previous prime is 1159930428473. The next prime is 1159930428497. The reversal of 1159930428480 is 848240399511.

It is a happy number.

1159930428480 is a `hidden beast` number, since 1 + 1 + 5 + 99 + 30 + 42 + 8 + 480 = 666.

It is a super-2 number, since 2×1159930428480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 31349471022 + ... + 31349471058.

It is an arithmetic number, because the mean of its divisors is an integer number (3450348700).

Almost surely, 2^{1159930428480} is an apocalyptic number.

1159930428480 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 1159930428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318634326400).

1159930428480 is an abundant number, since it is smaller than the sum of its proper divisors (3477338224320).

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

1159930428480 is an equidigital number, since it uses as much as digits as its factorization.

1159930428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1159930428480 in words is "one trillion, one hundred fifty-nine billion, nine hundred thirty million, four hundred twenty-eight thousand, four hundred eighty".