30825945360 has 640 divisors, whose sum is σ = 124449177600. Its totient is φ = 6868592640.

The previous prime is 30825945343. The next prime is 30825945361. The reversal of 30825945360 is 6354952803.

30825945360 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 594 + 53 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30825945361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 156476782 + ... + 156476978.

It is an arithmetic number, because the mean of its divisors is an integer number (194451840).

Almost surely, 2^30825945360 is an apocalyptic number.

30825945360 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 30825945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62224588800).

30825945360 is an abundant number, since it is smaller than the sum of its proper divisors (93623232240).

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

30825945360 is a wasteful number, since it uses less digits than its factorization.

30825945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 30825945360 in words is "thirty billion, eight hundred twenty-five million, nine hundred forty-five thousand, three hundred sixty".