150809380800 has 1008 divisors, whose sum is σ = 572687988480. Its totient is φ = 34651668480.

The previous prime is 150809380793. The next prime is 150809380811. The reversal of 150809380800 is 8083908051.

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, 1100798332 + ... + 1100798468.

Almost surely, 2^150809380800 is an apocalyptic number.

150809380800 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 150809380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286343994240).

150809380800 is an abundant number, since it is smaller than the sum of its proper divisors (421878607680).

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

150809380800 is a wasteful number, since it uses less digits than its factorization.

150809380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 150809380800 in words is "one hundred fifty billion, eight hundred nine million, three hundred eighty thousand, eight hundred".