150650085600 has 864 divisors, whose sum is σ = 634684377600. Its totient is φ = 34157168640.

The previous prime is 150650085589. The next prime is 150650085601. The reversal of 150650085600 is 6580056051.

150650085600 is a `hidden beast` number, since 15 + 0 + 6 + 500 + 85 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150650085601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202758829 + ... + 202759571.

It is an arithmetic number, because the mean of its divisors is an integer number (734588400).

Almost surely, 2^150650085600 is an apocalyptic number.

150650085600 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 150650085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317342188800).

150650085600 is an abundant number, since it is smaller than the sum of its proper divisors (484034292000).

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

150650085600 is a wasteful number, since it uses less digits than its factorization.

150650085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 150650085600 in words is "one hundred fifty billion, six hundred fifty million, eighty-five thousand, six hundred".