159872025600 has 1485 divisors, whose sum is σ = 709372540487. Its totient is φ = 34392637440.

The previous prime is 159872025563. The next prime is 159872025611. The reversal of 159872025600 is 6520278951.

The square root of 159872025600 is 399840.

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

159872025600 is a `hidden beast` number, since 1 + 5 + 9 + 87 + 2 + 0 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3739567104 + 156132458496 = 61152^2 + 395136^2 .

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

It is a Duffinian number.

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 134 ways as a sum of consecutive naturals, for example, 9404236792 + ... + 9404236808.

Almost surely, 2^159872025600 is an apocalyptic number.

159872025600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159872025600 is the 399840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159872025600

159872025600 is an abundant number, since it is smaller than the sum of its proper divisors (549500514887).

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

159872025600 is an equidigital number, since it uses as much as digits as its factorization.

159872025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 159872025600 in words is "one hundred fifty-nine billion, eight hundred seventy-two million, twenty-five thousand, six hundred".