29943438564960 has 144 divisors (see below), whose sum is σ = 102205918511424. Its totient is φ = 7983046619136.

The previous prime is 29943438564943. The next prime is 29943438564973. The reversal of 29943438564960 is 6946583434992.

29943438564960 is a `hidden beast` number, since 2 + 9 + 9 + 43 + 43 + 8 + 56 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3719929 + ... + 8586311.

It is an arithmetic number, because the mean of its divisors is an integer number (709763322996).

Almost surely, 2^{29943438564960} is an apocalyptic number.

29943438564960 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 29943438564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51102959255712).

29943438564960 is an abundant number, since it is smaller than the sum of its proper divisors (72262479946464).

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

29943438564960 is a wasteful number, since it uses less digits than its factorization.

29943438564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870677 (or 4870666 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 29943438564960 in words is "twenty-nine trillion, nine hundred forty-three billion, four hundred thirty-eight million, five hundred sixty-four thousand, nine hundred sixty".