159241420800 has 2160 divisors, whose sum is σ = 778166444160. Its totient is φ = 31142707200.

The previous prime is 159241420787. The next prime is 159241420841. The reversal of 159241420800 is 8024142951.

159241420800 is a `hidden beast` number, since 1 + 592 + 41 + 4 + 20 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9367142392 + ... + 9367142408.

Almost surely, 2^159241420800 is an apocalyptic number.

159241420800 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 159241420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389083222080).

159241420800 is an abundant number, since it is smaller than the sum of its proper divisors (618925023360).

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

159241420800 is a wasteful number, since it uses less digits than its factorization.

159241420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 159241420800 in words is "one hundred fifty-nine billion, two hundred forty-one million, four hundred twenty thousand, eight hundred".