30429020160 has 864 divisors, whose sum is σ = 133479021312. Its totient is φ = 6228541440.

The previous prime is 30429020117. The next prime is 30429020191. The reversal of 30429020160 is 6102092403.

30429020160 is a `hidden beast` number, since 30 + 429 + 0 + 201 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454164447 + ... + 454164513.

It is an arithmetic number, because the mean of its divisors is an integer number (154489608).

Almost surely, 2^30429020160 is an apocalyptic number.

30429020160 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 30429020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66739510656).

30429020160 is an abundant number, since it is smaller than the sum of its proper divisors (103050001152).

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

30429020160 is an equidigital number, since it uses as much as digits as its factorization.

30429020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30429020160 in words is "thirty billion, four hundred twenty-nine million, twenty thousand, one hundred sixty".