29944247711560 has 256 divisors, whose sum is σ = 85326047170560. Its totient is φ = 9204247019520.

The previous prime is 29944247711533. The next prime is 29944247711617. The reversal of 29944247711560 is 6511774244992.

It is a happy number.

It is a super-2 number, since 2×29944247711560² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32830644 + ... + 33730396.

It is an arithmetic number, because the mean of its divisors is an integer number (333304871760).

Almost surely, 2^{29944247711560} is an apocalyptic number.

29944247711560 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 29944247711560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42663023585280).

29944247711560 is an abundant number, since it is smaller than the sum of its proper divisors (55381799459000).

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

29944247711560 is a wasteful number, since it uses less digits than its factorization.

29944247711560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900048 (or 900044 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

It can be divided in two parts, 2994424 and 7711560, that added together give a square (10705984 = 3272²).

The spelling of 29944247711560 in words is "twenty-nine trillion, nine hundred forty-four billion, two hundred forty-seven million, seven hundred eleven thousand, five hundred sixty".