30426852960 has 960 divisors, whose sum is σ = 131857165440. Its totient is φ = 6449725440.

The previous prime is 30426852901. The next prime is 30426852961. The reversal of 30426852960 is 6925862403.

30426852960 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 68 + 529 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30426852961) 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 159 ways as a sum of consecutive naturals, for example, 168104070 + ... + 168104250.

It is an arithmetic number, because the mean of its divisors is an integer number (137351214).

Almost surely, 2^30426852960 is an apocalyptic number.

30426852960 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 30426852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65928582720).

30426852960 is an abundant number, since it is smaller than the sum of its proper divisors (101430312480).

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

30426852960 is a wasteful number, since it uses less digits than its factorization.

30426852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30426852960 in words is "thirty billion, four hundred twenty-six million, eight hundred fifty-two thousand, nine hundred sixty".