29782085472 has 36 divisors (see below), whose sum is σ = 84692806380. Its totient is φ = 9927361728.

The previous prime is 29782085461. The next prime is 29782085533. The reversal of 29782085472 is 27458028792.

29782085472 is a `hidden beast` number, since 2 + 9 + 78 + 20 + 8 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 51704722 + ... + 51705297.

It is an arithmetic number, because the mean of its divisors is an integer number (2352577955).

Almost surely, 2^29782085472 is an apocalyptic number.

It is an amenable number.

29782085472 is an abundant number, since it is smaller than the sum of its proper divisors (54910720908).

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

29782085472 is a wasteful number, since it uses less digits than its factorization.

29782085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103410035 (or 103410024 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 29782085472 in words is "twenty-nine billion, seven hundred eighty-two million, eighty-five thousand, four hundred seventy-two".