30564525420 has 864 divisors, whose sum is σ = 120860812800. Its totient is φ = 6404935680.

The previous prime is 30564525401. The next prime is 30564525457. The reversal of 30564525420 is 2452546503.

30564525420 is a `hidden beast` number, since 3 + 0 + 5 + 64 + 52 + 542 + 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 287 ways as a sum of consecutive naturals, for example, 153590481 + ... + 153590679.

It is an arithmetic number, because the mean of its divisors is an integer number (139885200).

Almost surely, 2^30564525420 is an apocalyptic number.

30564525420 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 30564525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60430406400).

30564525420 is an abundant number, since it is smaller than the sum of its proper divisors (90296287380).

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

30564525420 is a wasteful number, since it uses less digits than its factorization.

30564525420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 30564525420 in words is "thirty billion, five hundred sixty-four million, five hundred twenty-five thousand, four hundred twenty".