29484235872 has 1344 divisors, whose sum is σ = 122161374720. Its totient is φ = 6772211712.

The previous prime is 29484235871. The next prime is 29484235883. The reversal of 29484235872 is 27853248492.

29484235872 is a `hidden beast` number, since 29 + 484 + 23 + 58 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29484235871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 685679883 + ... + 685679925.

It is an arithmetic number, because the mean of its divisors is an integer number (90893880).

Almost surely, 2^29484235872 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 29484235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080687360).

29484235872 is an abundant number, since it is smaller than the sum of its proper divisors (92677138848).

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

29484235872 is a wasteful number, since it uses less digits than its factorization.

29484235872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 29484 and 235872, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 29484235872 in words is "twenty-nine billion, four hundred eighty-four million, two hundred thirty-five thousand, eight hundred seventy-two".