29361728880 has 560 divisors, whose sum is σ = 114767413344. Its totient is φ = 6920017920.

The previous prime is 29361728863. The next prime is 29361728881. The reversal of 29361728880 is 8882716392.

It is a happy number.

It is a super-2 number, since 2×29361728880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29361728881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23735622 + ... + 23736858.

Almost surely, 2^29361728880 is an apocalyptic number.

29361728880 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 29361728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57383706672).

29361728880 is an abundant number, since it is smaller than the sum of its proper divisors (85405684464).

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

29361728880 is a wasteful number, since it uses less digits than its factorization.

29361728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 29361728880 in words is "twenty-nine billion, three hundred sixty-one million, seven hundred twenty-eight thousand, eight hundred eighty".