29145009186720 has 576 divisors, whose sum is σ = 114819515725824. Its totient is φ = 6594141173760.

The previous prime is 29145009186607. The next prime is 29145009186749. The reversal of 29145009186720 is 2768190054192.

It is a happy number.

29145009186720 is a `hidden beast` number, since 2 + 9 + 1 + 450 + 0 + 9 + 186 + 7 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3126135979 + ... + 3126145301.

It is an arithmetic number, because the mean of its divisors is an integer number (199339437024).

Almost surely, 2^{29145009186720} is an apocalyptic number.

29145009186720 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 29145009186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57409757862912).

29145009186720 is an abundant number, since it is smaller than the sum of its proper divisors (85674506539104).

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

29145009186720 is a wasteful number, since it uses less digits than its factorization.

29145009186720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 29145009186720 in words is "twenty-nine trillion, one hundred forty-five billion, nine million, one hundred eighty-six thousand, seven hundred twenty".