159664264200 has 288 divisors, whose sum is σ = 614003707200. Its totient is φ = 36423406080.

The previous prime is 159664264153. The next prime is 159664264217. The reversal of 159664264200 is 2462466951.

159664264200 is a `hidden beast` number, since 15 + 9 + 6 + 6 + 426 + 4 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6577686 + ... + 6601914.

Almost surely, 2^159664264200 is an apocalyptic number.

159664264200 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 159664264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307001853600).

159664264200 is an abundant number, since it is smaller than the sum of its proper divisors (454339443000).

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

159664264200 is a wasteful number, since it uses less digits than its factorization.

159664264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24781 (or 24769 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 159664264200 in words is "one hundred fifty-nine billion, six hundred sixty-four million, two hundred sixty-four thousand, two hundred".