29265380352 has 528 divisors, whose sum is σ = 96387170880. Its totient is φ = 8814624768.

The previous prime is 29265380293. The next prime is 29265380357. The reversal of 29265380352 is 25308356292.

29265380352 is a `hidden beast` number, since 2 + 9 + 265 + 38 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29265380298 and 29265380307.

It is not an unprimeable number, because it can be changed into a prime (29265380357) by changing a digit.

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, 268489674 + ... + 268489782.

It is an arithmetic number, because the mean of its divisors is an integer number (182551460).

Almost surely, 2^29265380352 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 29265380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48193585440).

29265380352 is an abundant number, since it is smaller than the sum of its proper divisors (67121790528).

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

29265380352 is a wasteful number, since it uses less digits than its factorization.

29265380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 29265380352 in words is "twenty-nine billion, two hundred sixty-five million, three hundred eighty thousand, three hundred fifty-two".