29485682380 has 288 divisors, whose sum is σ = 83150323200. Its totient is φ = 8660736000.

The previous prime is 29485682353. The next prime is 29485682389. The reversal of 29485682380 is 8328658492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (29485682389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73530180 + ... + 73530580.

It is an arithmetic number, because the mean of its divisors is an integer number (288716400).

Almost surely, 2^29485682380 is an apocalyptic number.

29485682380 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 29485682380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41575161600).

29485682380 is an abundant number, since it is smaller than the sum of its proper divisors (53664640820).

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

29485682380 is a wasteful number, since it uses less digits than its factorization.

29485682380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 29485682380 in words is "twenty-nine billion, four hundred eighty-five million, six hundred eighty-two thousand, three hundred eighty".