150793405056 has 576 divisors, whose sum is σ = 521806034880. Its totient is φ = 42514440192.

The previous prime is 150793405043. The next prime is 150793405073. The reversal of 150793405056 is 650504397051.

150793405056 is a `hidden beast` number, since 1 + 50 + 7 + 93 + 4 + 0 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664288015 + ... + 664288241.

It is an arithmetic number, because the mean of its divisors is an integer number (905913255).

Almost surely, 2^150793405056 is an apocalyptic number.

150793405056 is a gapful number since it is divisible by the number (16) 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 150793405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260903017440).

150793405056 is an abundant number, since it is smaller than the sum of its proper divisors (371012629824).

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

150793405056 is an frugal number, since it uses more digits than its factorization.

150793405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 150793405056 in words is "one hundred fifty billion, seven hundred ninety-three million, four hundred five thousand, fifty-six".