159099690516480 has 3840 divisors, whose sum is σ = 711620762688000. Its totient is φ = 33806880866304.

The previous prime is 159099690516479. The next prime is 159099690516583. The reversal of 159099690516480 is 84615096990951.

159099690516480 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 9 + 9 + 6 + 90 + 51 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 159099690516399 and 159099690516408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 976071720879 + ... + 976071721041.

It is an arithmetic number, because the mean of its divisors is an integer number (185317906950).

Almost surely, 2^{159099690516480} is an apocalyptic number.

159099690516480 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 159099690516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355810381344000).

159099690516480 is an abundant number, since it is smaller than the sum of its proper divisors (552521072171520).

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

159099690516480 is an equidigital number, since it uses as much as digits as its factorization.

159099690516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 159099690516480 in words is "one hundred fifty-nine trillion, ninety-nine billion, six hundred ninety million, five hundred sixteen thousand, four hundred eighty".