29660585472 has 240 divisors, whose sum is σ = 98035546752. Its totient is φ = 8456785920.

The previous prime is 29660585453. The next prime is 29660585497. The reversal of 29660585472 is 27458506692.

29660585472 is a `hidden beast` number, since 2 + 96 + 6 + 0 + 5 + 8 + 547 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30545947 + ... + 30546917.

Almost surely, 2^29660585472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29660585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49017773376).

29660585472 is an abundant number, since it is smaller than the sum of its proper divisors (68374961280).

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

29660585472 is an equidigital number, since it uses as much as digits as its factorization.

29660585472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 29660585472 in words is "twenty-nine billion, six hundred sixty million, five hundred eighty-five thousand, four hundred seventy-two".