159857712000 has 1280 divisors, whose sum is σ = 691278382080. Its totient is φ = 35856691200.

The previous prime is 159857711977. The next prime is 159857712017. The reversal of 159857712000 is 217758951.

159857712000 is a `hidden beast` number, since 1 + 59 + 8 + 577 + 1 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 607823869 + ... + 607824131.

It is an arithmetic number, because the mean of its divisors is an integer number (540061236).

Almost surely, 2^159857712000 is an apocalyptic number.

159857712000 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 159857712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345639191040).

159857712000 is an abundant number, since it is smaller than the sum of its proper divisors (531420670080).

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

159857712000 is an equidigital number, since it uses as much as digits as its factorization.

159857712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 159857712000 in words is "one hundred fifty-nine billion, eight hundred fifty-seven million, seven hundred twelve thousand".