29248116660 has 216 divisors, whose sum is σ = 107027313120. Its totient is φ = 6685229376.

The previous prime is 29248116629. The next prime is 29248116661. The reversal of 29248116660 is 6661184292.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29248116661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176731 + ... + 299549.

It is an arithmetic number, because the mean of its divisors is an integer number (495496820).

Almost surely, 2^29248116660 is an apocalyptic number.

29248116660 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 29248116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513656560).

29248116660 is an abundant number, since it is smaller than the sum of its proper divisors (77779196460).

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

29248116660 is a wasteful number, since it uses less digits than its factorization.

29248116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122857 (or 122836 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 29248116660 in words is "twenty-nine billion, two hundred forty-eight million, one hundred sixteen thousand, six hundred sixty".