29164361280 has 224 divisors, whose sum is σ = 95513493504. Its totient is φ = 7535130624.

The previous prime is 29164361273. The next prime is 29164361287. The reversal of 29164361280 is 8216346192.

It is an interprime number because it is at equal distance from previous prime (29164361273) and next prime (29164361287).

It is not an unprimeable number, because it can be changed into a prime (29164361287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5239779 + ... + 5245341.

Almost surely, 2^29164361280 is an apocalyptic number.

29164361280 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 29164361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47756746752).

29164361280 is an abundant number, since it is smaller than the sum of its proper divisors (66349132224).

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

29164361280 is a wasteful number, since it uses less digits than its factorization.

29164361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 29164361280 in words is "twenty-nine billion, one hundred sixty-four million, three hundred sixty-one thousand, two hundred eighty".