29072264256 has 672 divisors, whose sum is σ = 105085774080. Its totient is φ = 7713792000.

The previous prime is 29072264231. The next prime is 29072264257. The reversal of 29072264256 is 65246227092.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (29072264257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476594466 + ... + 476594526.

It is an arithmetic number, because the mean of its divisors is an integer number (156377640).

Almost surely, 2^29072264256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29072264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542887040).

29072264256 is an abundant number, since it is smaller than the sum of its proper divisors (76013509824).

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

29072264256 is a wasteful number, since it uses less digits than its factorization.

29072264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 29072264256 in words is "twenty-nine billion, seventy-two million, two hundred sixty-four thousand, two hundred fifty-six".