159225218570880 has 1536 divisors, whose sum is σ = 716939093606400. Its totient is φ = 32686886707200.

The previous prime is 159225218570867. The next prime is 159225218570921. The reversal of 159225218570880 is 88075812522951.

159225218570880 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 2 + 52 + 1 + 8 + 570 + 8 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1214735745 + ... + 1214866815.

It is an arithmetic number, because the mean of its divisors is an integer number (466757222400).

Almost surely, 2^{159225218570880} is an apocalyptic number.

159225218570880 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 159225218570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358469546803200).

159225218570880 is an abundant number, since it is smaller than the sum of its proper divisors (557713875035520).

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

159225218570880 is a wasteful number, since it uses less digits than its factorization.

159225218570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131211 (or 131182 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 63.

The spelling of 159225218570880 in words is "one hundred fifty-nine trillion, two hundred twenty-five billion, two hundred eighteen million, five hundred seventy thousand, eight hundred eighty".