159082051951200 has 3456 divisors, whose sum is σ = 681154739306496. Its totient is φ = 32022853632000.

The previous prime is 159082051951187. The next prime is 159082051951357. The reversal of 159082051951200 is 2159150280951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 159082051951200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 145813062655 + ... + 145813063745.

It is an arithmetic number, because the mean of its divisors is an integer number (197093385216).

Almost surely, 2^{159082051951200} is an apocalyptic number.

159082051951200 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 159082051951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340577369653248).

159082051951200 is an abundant number, since it is smaller than the sum of its proper divisors (522072687355296).

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

159082051951200 is a wasteful number, since it uses less digits than its factorization.

159082051951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 48.

The spelling of 159082051951200 in words is "one hundred fifty-nine trillion, eighty-two billion, fifty-one million, nine hundred fifty-one thousand, two hundred".