159854552089600 has 297 divisors, whose sum is σ = 418298963325597. Its totient is φ = 60561896693760.

The previous prime is 159854552089553. The next prime is 159854552089627. The reversal of 159854552089600 is 6980255458951.

The square root of 159854552089600 is 12643360.

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., 57547638752256 + 102306913337344 = 7586016^2 + 10114688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38435812321 + ... + 38435816479.

Almost surely, 2^{159854552089600} is an apocalyptic number.

159854552089600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159854552089600 is the 12643360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159854552089600

159854552089600 is an abundant number, since it is smaller than the sum of its proper divisors (258444411235997).

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

159854552089600 is an frugal number, since it uses more digits than its factorization.

159854552089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 67.

The spelling of 159854552089600 in words is "one hundred fifty-nine trillion, eight hundred fifty-four billion, five hundred fifty-two million, eighty-nine thousand, six hundred".