159852268800 has 2160 divisors, whose sum is σ = 736036224000. Its totient is φ = 34139750400.

The previous prime is 159852268799. The next prime is 159852268843. The reversal of 159852268800 is 8862258951.

It is a happy number.

159852268800 is a `hidden beast` number, since 1 + 59 + 8 + 522 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5156524785 + ... + 5156524815.

Almost surely, 2^159852268800 is an apocalyptic number.

159852268800 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 159852268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368018112000).

159852268800 is an abundant number, since it is smaller than the sum of its proper divisors (576183955200).

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

159852268800 is an equidigital number, since it uses as much as digits as its factorization.

159852268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 159852268800 in words is "one hundred fifty-nine billion, eight hundred fifty-two million, two hundred sixty-eight thousand, eight hundred".