150597327928320 has 4752 divisors, whose sum is σ = 698380739417088. Its totient is φ = 30998335979520.

The previous prime is 150597327928297. The next prime is 150597327928363. The reversal of 150597327928320 is 23829723795051.

150597327928320 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 9 + 7 + 327 + 9 + 283 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 484235780965 + ... + 484235781275.

Almost surely, 2^{150597327928320} is an apocalyptic number.

150597327928320 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 150597327928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349190369708544).

150597327928320 is an abundant number, since it is smaller than the sum of its proper divisors (547783411488768).

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

150597327928320 is a wasteful number, since it uses less digits than its factorization.

150597327928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 150597327928320 in words is "one hundred fifty trillion, five hundred ninety-seven billion, three hundred twenty-seven million, nine hundred twenty-eight thousand, three hundred twenty".