29052890496 has 576 divisors, whose sum is σ = 103652040960. Its totient is φ = 7636654080.

The previous prime is 29052890483. The next prime is 29052890501. The reversal of 29052890496 is 69409825092.

It is a happy number.

29052890496 is a `hidden beast` number, since 29 + 0 + 52 + 89 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 178238511 + ... + 178238673.

It is an arithmetic number, because the mean of its divisors is an integer number (179951460).

Almost surely, 2^29052890496 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 29052890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51826020480).

29052890496 is an abundant number, since it is smaller than the sum of its proper divisors (74599150464).

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

29052890496 is a wasteful number, since it uses less digits than its factorization.

29052890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

It can be divided in two parts, 2905 and 2890496, that added together give a square (2893401 = 1701²).

The spelling of 29052890496 in words is "twenty-nine billion, fifty-two million, eight hundred ninety thousand, four hundred ninety-six".