159936006400 has 81 divisors (see below), whose sum is σ = 395945810841. Its totient is φ = 63961605120.

The previous prime is 159936006313. The next prime is 159936006401. The reversal of 159936006400 is 4600639951.

The square root of 159936006400 is 399920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57576962304 + 102359044096 = 239952^2 + 319936^2 .

It is a super-2 number, since 2×159936006400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159936006401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 31991101 + ... + 31996099.

Almost surely, 2^159936006400 is an apocalyptic number.

159936006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159936006400 is the 399920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159936006400

159936006400 is an abundant number, since it is smaller than the sum of its proper divisors (236009804441).

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

159936006400 is an frugal number, since it uses more digits than its factorization.

159936006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

It can be divided in two parts, 15993600 and 6400, that added together give a square (16000000 = 4000²).

The spelling of 159936006400 in words is "one hundred fifty-nine billion, nine hundred thirty-six million, six thousand, four hundred".