150485428800 has 882 divisors, whose sum is σ = 646064983458. Its totient is φ = 34383605760.

The previous prime is 150485428777. The next prime is 150485428817. The reversal of 150485428800 is 8824584051.

150485428800 is a `hidden beast` number, since 1 + 50 + 485 + 42 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 660695616 + 149824733184 = 25704^2 + 387072^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is a super-2 number, since 2×150485428800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 57152284 + ... + 57154916.

Almost surely, 2^150485428800 is an apocalyptic number.

150485428800 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 150485428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323032491729).

150485428800 is an abundant number, since it is smaller than the sum of its proper divisors (495579554658).

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

150485428800 is an equidigital number, since it uses as much as digits as its factorization.

150485428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 150485428800 in words is "one hundred fifty billion, four hundred eighty-five million, four hundred twenty-eight thousand, eight hundred".