29712969056320 has 448 divisors, whose sum is σ = 81862467305472. Its totient is φ = 10166188032000.

The previous prime is 29712969056291. The next prime is 29712969056347. The reversal of 29712969056320 is 2365096921792.

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, 2626903465 + ... + 2626914775.

It is an arithmetic number, because the mean of its divisors is an integer number (182728721664).

Almost surely, 2^{29712969056320} is an apocalyptic number.

29712969056320 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 29712969056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40931233652736).

29712969056320 is an abundant number, since it is smaller than the sum of its proper divisors (52149498249152).

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

29712969056320 is a wasteful number, since it uses less digits than its factorization.

29712969056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11890 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 29712969056320 in words is "twenty-nine trillion, seven hundred twelve billion, nine hundred sixty-nine million, fifty-six thousand, three hundred twenty".