159333424064640 has 1280 divisors, whose sum is σ = 657052140096000. Its totient is φ = 36042472488960.

The previous prime is 159333424064599. The next prime is 159333424064653. The reversal of 159333424064640 is 46460424333951.

159333424064640 is a `hidden beast` number, since 1 + 5 + 9 + 3 + 334 + 240 + 6 + 4 + 64 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 15193417477 + ... + 15193427963.

It is an arithmetic number, because the mean of its divisors is an integer number (513321984450).

Almost surely, 2^{159333424064640} is an apocalyptic number.

159333424064640 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 159333424064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328526070048000).

159333424064640 is an abundant number, since it is smaller than the sum of its proper divisors (497718716031360).

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

159333424064640 is a wasteful number, since it uses less digits than its factorization.

159333424064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 159333424064640 in words is "one hundred fifty-nine trillion, three hundred thirty-three billion, four hundred twenty-four million, sixty-four thousand, six hundred forty".