158505984000 has 2016 divisors, whose sum is σ = 742373233056. Its totient is φ = 33443020800.

The previous prime is 158505983963. The next prime is 158505984011. The reversal of 158505984000 is 489505851.

It is a happy number.

158505984000 is a `hidden beast` number, since 1 + 5 + 8 + 50 + 598 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 143 ways as a sum of consecutive naturals, for example, 12192767994 + ... + 12192768006.

It is an arithmetic number, because the mean of its divisors is an integer number (368240691).

Almost surely, 2^158505984000 is an apocalyptic number.

158505984000 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 158505984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371186616528).

158505984000 is an abundant number, since it is smaller than the sum of its proper divisors (583867249056).

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

158505984000 is an frugal number, since it uses more digits than its factorization.

158505984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 158505984000 in words is "one hundred fifty-eight billion, five hundred five million, nine hundred eighty-four thousand".