29252948256 has 288 divisors, whose sum is σ = 100742201280. Its totient is φ = 8232440832.

The previous prime is 29252948243. The next prime is 29252948267. The reversal of 29252948256 is 65284925292.

29252948256 is a `hidden beast` number, since 2 + 92 + 5 + 29 + 482 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831356 + ... + 2841668.

It is an arithmetic number, because the mean of its divisors is an integer number (349799310).

Almost surely, 2^29252948256 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 29252948256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371100640).

29252948256 is an abundant number, since it is smaller than the sum of its proper divisors (71489253024).

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

29252948256 is a wasteful number, since it uses less digits than its factorization.

29252948256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10392 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 29252948256 in words is "twenty-nine billion, two hundred fifty-two million, nine hundred forty-eight thousand, two hundred fifty-six".