29045459520 has 1344 divisors, whose sum is σ = 132965952000. Its totient is φ = 6035420160.

The previous prime is 29045459413. The next prime is 29045459533. The reversal of 29045459520 is 2595454092.

29045459520 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 54 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2640496315 + ... + 2640496325.

It is an arithmetic number, because the mean of its divisors is an integer number (98933000).

Almost surely, 2^29045459520 is an apocalyptic number.

29045459520 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 29045459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66482976000).

29045459520 is an abundant number, since it is smaller than the sum of its proper divisors (103920492480).

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

29045459520 is an frugal number, since it uses more digits than its factorization.

29045459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 29045459520 in words is "twenty-nine billion, forty-five million, four hundred fifty-nine thousand, five hundred twenty".