29712413544960 has 320 divisors, whose sum is σ = 98223631178112. Its totient is φ = 7657779757056.

The previous prime is 29712413544959. The next prime is 29712413544967. The reversal of 29712413544960 is 6944531421792.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 29712413544960.

It is not an unprimeable number, because it can be changed into a prime (29712413544967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26726932 + ... + 27816428.

Almost surely, 2^{29712413544960} is an apocalyptic number.

29712413544960 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 29712413544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49111815589056).

29712413544960 is an abundant number, since it is smaller than the sum of its proper divisors (68511217633152).

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

29712413544960 is a wasteful number, since it uses less digits than its factorization.

29712413544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089643 (or 1089627 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 29712413544960 in words is "twenty-nine trillion, seven hundred twelve billion, four hundred thirteen million, five hundred forty-four thousand, nine hundred sixty".