150350660006400 has 1920 divisors, whose sum is σ = 640134891601920. Its totient is φ = 33855307776000.

The previous prime is 150350660006389. The next prime is 150350660006413. The reversal of 150350660006400 is 4600066053051.

150350660006400 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 5 + 0 + 6 + 6 + 0 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 49441188880 + ... + 49441191920.

It is an arithmetic number, because the mean of its divisors is an integer number (333403589376).

Almost surely, 2^{150350660006400} is an apocalyptic number.

150350660006400 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 150350660006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320067445800960).

150350660006400 is an abundant number, since it is smaller than the sum of its proper divisors (489784231595520).

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

150350660006400 is a wasteful number, since it uses less digits than its factorization.

150350660006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 150350660006400 in words is "one hundred fifty trillion, three hundred fifty billion, six hundred sixty million, six thousand, four hundred".