159054202563840 has 864 divisors, whose sum is σ = 574284879866880. Its totient is φ = 40607878348800.

The previous prime is 159054202563827. The next prime is 159054202563847. The reversal of 159054202563840 is 48365202450951.

159054202563840 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 5 + 4 + 2 + 0 + 256 + 384 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159054202563847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17082392785 + ... + 17082402095.

It is an arithmetic number, because the mean of its divisors is an integer number (664681573920).

Almost surely, 2^{159054202563840} is an apocalyptic number.

159054202563840 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 159054202563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287142439933440).

159054202563840 is an abundant number, since it is smaller than the sum of its proper divisors (415230677303040).

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

159054202563840 is a wasteful number, since it uses less digits than its factorization.

159054202563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 159054202563840 in words is "one hundred fifty-nine trillion, fifty-four billion, two hundred two million, five hundred sixty-three thousand, eight hundred forty".