150005010384000 has 1536 divisors, whose sum is σ = 554955792168960. Its totient is φ = 38817438105600.

The previous prime is 150005010383989. The next prime is 150005010384023. The reversal of 150005010384000 is 483010500051.

150005010384000 is a `hidden beast` number, since 1 + 500 + 0 + 50 + 103 + 8 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243119951692 + ... + 243119952308.

It is an arithmetic number, because the mean of its divisors is an integer number (361299343860).

Almost surely, 2^{150005010384000} is an apocalyptic number.

150005010384000 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 150005010384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277477896084480).

150005010384000 is an abundant number, since it is smaller than the sum of its proper divisors (404950781784960).

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

150005010384000 is a wasteful number, since it uses less digits than its factorization.

150005010384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 150005010384000 its reverse (483010500051), we get a palindrome (150488020884051).

The spelling of 150005010384000 in words is "one hundred fifty trillion, five billion, ten million, three hundred eighty-four thousand".