158785671168000 has 1792 divisors, whose sum is σ = 609174964878480. Its totient is φ = 41278242816000.

The previous prime is 158785671167941. The next prime is 158785671168013. The reversal of 158785671168000 is 861176587851.

158785671168000 is a `hidden beast` number, since 1 + 5 + 8 + 7 + 8 + 567 + 1 + 1 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10711429300224 + 148074241867776 = 3272832^2 + 12168576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122425343352 + ... + 122425344648.

Almost surely, 2^{158785671168000} is an apocalyptic number.

158785671168000 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 158785671168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304587482439240).

158785671168000 is an abundant number, since it is smaller than the sum of its proper divisors (450389293710480).

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

158785671168000 is an frugal number, since it uses more digits than its factorization.

158785671168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 158785671168000 in words is "one hundred fifty-eight trillion, seven hundred eighty-five billion, six hundred seventy-one million, one hundred sixty-eight thousand".