29025300480 has 416 divisors, whose sum is σ = 102984853248. Its totient is φ = 6920601600.

The previous prime is 29025300463. The next prime is 29025300481. The reversal of 29025300480 is 8400352092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29025300481) 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 31 ways as a sum of consecutive naturals, for example, 45280960 + ... + 45281600.

Almost surely, 2^29025300480 is an apocalyptic number.

29025300480 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 29025300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492426624).

29025300480 is an abundant number, since it is smaller than the sum of its proper divisors (73959552768).

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

29025300480 is a wasteful number, since it uses less digits than its factorization.

29025300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 29025300480 in words is "twenty-nine billion, twenty-five million, three hundred thousand, four hundred eighty".