150006505600 has 192 divisors, whose sum is σ = 427255511040. Its totient is φ = 50974801920.

The previous prime is 150006505591. The next prime is 150006505603. The reversal of 150006505600 is 6505600051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (150006505603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2501569 + ... + 2560831.

It is an arithmetic number, because the mean of its divisors is an integer number (2225289120).

Almost surely, 2^150006505600 is an apocalyptic number.

150006505600 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 150006505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213627755520).

150006505600 is an abundant number, since it is smaller than the sum of its proper divisors (277249005440).

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

150006505600 is a wasteful number, since it uses less digits than its factorization.

150006505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59407 (or 59390 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 150006505600 in words is "one hundred fifty billion, six million, five hundred five thousand, six hundred".