29812064256 has 336 divisors, whose sum is σ = 96301173920. Its totient is φ = 9172942848.

The previous prime is 29812064237. The next prime is 29812064267. The reversal of 29812064256 is 65246021892.

It is a congruent number.

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, 2293235706 + ... + 2293235718.

Almost surely, 2^29812064256 is an apocalyptic number.

29812064256 is a gapful number since it is divisible by the number (26) 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 29812064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150586960).

29812064256 is an abundant number, since it is smaller than the sum of its proper divisors (66489109664).

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

29812064256 is an frugal number, since it uses more digits than its factorization.

29812064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 29812064256 in words is "twenty-nine billion, eight hundred twelve million, sixty-four thousand, two hundred fifty-six".