29826664560 has 1440 divisors, whose sum is σ = 140104157760. Its totient is φ = 5790597120.

The previous prime is 29826664559. The next prime is 29826664579. The reversal of 29826664560 is 6546662892.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 29826664497 and 29826664506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217712812 + ... + 217712948.

It is an arithmetic number, because the mean of its divisors is an integer number (97294554).

Almost surely, 2^29826664560 is an apocalyptic number.

29826664560 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 29826664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70052078880).

29826664560 is an abundant number, since it is smaller than the sum of its proper divisors (110277493200).

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

29826664560 is a wasteful number, since it uses less digits than its factorization.

29826664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 29826664560 in words is "twenty-nine billion, eight hundred twenty-six million, six hundred sixty-four thousand, five hundred sixty".