29050900480 has 156 divisors (see below), whose sum is σ = 81098271900. Its totient is φ = 9959964672.

The previous prime is 29050900477. The next prime is 29050900499. The reversal of 29050900480 is 8400905092.

It can be written as a sum of positive squares in 2 ways, for example, as 22255865856 + 6795034624 = 149184^2 + 82432^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 989046 + ... + 1017994.

Almost surely, 2^29050900480 is an apocalyptic number.

29050900480 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 29050900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40549135950).

29050900480 is an abundant number, since it is smaller than the sum of its proper divisors (52047371420).

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

29050900480 is an equidigital number, since it uses as much as digits as its factorization.

29050900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992 (or 28963 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 29050900480 in words is "twenty-nine billion, fifty million, nine hundred thousand, four hundred eighty".