159993100800 has 960 divisors, whose sum is σ = 639334080000. Its totient is φ = 38954926080.

The previous prime is 159993100781. The next prime is 159993100819. The reversal of 159993100800 is 8001399951.

It is an interprime number because it is at equal distance from previous prime (159993100781) and next prime (159993100819).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 669427081 + ... + 669427319.

It is an arithmetic number, because the mean of its divisors is an integer number (665973000).

Almost surely, 2^159993100800 is an apocalyptic number.

159993100800 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 159993100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040000).

159993100800 is an abundant number, since it is smaller than the sum of its proper divisors (479340979200).

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

159993100800 is a wasteful number, since it uses less digits than its factorization.

159993100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 159993100800 in words is "one hundred fifty-nine billion, nine hundred ninety-three million, one hundred thousand, eight hundred".