150520320025200 has 480 divisors, whose sum is σ = 536506306279680. Its totient is φ = 40081450060800.

The previous prime is 150520320025193. The next prime is 150520320025211. The reversal of 150520320025200 is 2520023025051.

150520320025200 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 203 + 200 + 252 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31273697994 + ... + 31273702806.

It is an arithmetic number, because the mean of its divisors is an integer number (1117721471416).

Almost surely, 2^{150520320025200} is an apocalyptic number.

150520320025200 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 150520320025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268253153139840).

150520320025200 is an abundant number, since it is smaller than the sum of its proper divisors (385985986254480).

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

150520320025200 is a wasteful number, since it uses less digits than its factorization.

150520320025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 150520320025200 in words is "one hundred fifty trillion, five hundred twenty billion, three hundred twenty million, twenty-five thousand, two hundred".