29064197079040 has 256 divisors, whose sum is σ = 70410095173440. Its totient is φ = 11516494479360.

The previous prime is 29064197079037. The next prime is 29064197079059. The reversal of 29064197079040 is 4097079146092.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19466976534 + ... + 19466978026.

Almost surely, 2^{29064197079040} is an apocalyptic number.

29064197079040 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 29064197079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35205047586720).

29064197079040 is an abundant number, since it is smaller than the sum of its proper divisors (41345898094400).

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

29064197079040 is an equidigital number, since it uses as much as digits as its factorization.

29064197079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 29064197079040 in words is "twenty-nine trillion, sixty-four billion, one hundred ninety-seven million, seventy-nine thousand, forty".