29715216960 has 448 divisors, whose sum is σ = 111435367680. Its totient is φ = 6613893120.

The previous prime is 29715216941. The next prime is 29715216983. The reversal of 29715216960 is 6961251792.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31985776 + ... + 31986704.

It is an arithmetic number, because the mean of its divisors is an integer number (248739660).

Almost surely, 2^29715216960 is an apocalyptic number.

29715216960 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 29715216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55717683840).

29715216960 is an abundant number, since it is smaller than the sum of its proper divisors (81720150720).

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

29715216960 is a wasteful number, since it uses less digits than its factorization.

29715216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 29715216960 in words is "twenty-nine billion, seven hundred fifteen million, two hundred sixteen thousand, nine hundred sixty".