330538725000 has 1440 divisors, whose sum is σ = 1357759972800. Its totient is φ = 74844000000.

The previous prime is 330538724983. The next prime is 330538725047. The reversal of 330538725000 is 527835033.

330538725000 is a `hidden beast` number, since 3 + 3 + 0 + 538 + 72 + 50 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4655474965 + ... + 4655475035.

It is an arithmetic number, because the mean of its divisors is an integer number (942888870).

Almost surely, 2^330538725000 is an apocalyptic number.

330538725000 is a gapful number since it is divisible by the number (30) 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 330538725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678879986400).

330538725000 is an abundant number, since it is smaller than the sum of its proper divisors (1027221247800).

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

330538725000 is a wasteful number, since it uses less digits than its factorization.

330538725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 330538725000 in words is "three hundred thirty billion, five hundred thirty-eight million, seven hundred twenty-five thousand".