150042170880000 has 1950 divisors, whose sum is σ = 651583186899216. Its totient is φ = 34293030912000.

The previous prime is 150042170879983. The next prime is 150042170880013. The reversal of 150042170880000 is 88071240051.

150042170880000 is a `hidden beast` number, since 1 + 500 + 4 + 2 + 1 + 70 + 8 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 10160632617 + ... + 10160647383.

Almost surely, 2^{150042170880000} is an apocalyptic number.

150042170880000 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 150042170880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325791593449608).

150042170880000 is an abundant number, since it is smaller than the sum of its proper divisors (501541016019216).

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

150042170880000 is an frugal number, since it uses more digits than its factorization.

150042170880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 150042170880000 in words is "one hundred fifty trillion, forty-two billion, one hundred seventy million, eight hundred eighty thousand".