29430248348160 has 1320 divisors, whose sum is σ = 116414145775620. Its totient is φ = 7130171473920.

The previous prime is 29430248348089. The next prime is 29430248348177. The reversal of 29430248348160 is 6184384203492.

It is a happy number.

29430248348160 is a `hidden beast` number, since 2 + 9 + 4 + 3 + 0 + 24 + 83 + 481 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27672481495296 + 1757766852864 = 5260464^2 + 1325808^2 .

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×29430248348160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29430248348097 and 29430248348106.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 18291017436 + ... + 18291019044.

Almost surely, 2^{29430248348160} is an apocalyptic number.

29430248348160 is a gapful number since it is divisible by the number (20) 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 29430248348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58207072887810).

29430248348160 is an abundant number, since it is smaller than the sum of its proper divisors (86983897427460).

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

29430248348160 is an frugal number, since it uses more digits than its factorization.

29430248348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 29430248348160 in words is "twenty-nine trillion, four hundred thirty billion, two hundred forty-eight million, three hundred forty-eight thousand, one hundred sixty".