29152054008 has 256 divisors, whose sum is σ = 106274304000. Its totient is φ = 7173360000.

The previous prime is 29152054003. The next prime is 29152054031. The reversal of 29152054008 is 80045025192.

29152054008 is a `hidden beast` number, since 2 + 91 + 5 + 20 + 540 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29152054003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269883 + ... + 362133.

It is an arithmetic number, because the mean of its divisors is an integer number (415134000).

Almost surely, 2^29152054008 is an apocalyptic number.

29152054008 is a gapful number since it is divisible by the number (28) 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 29152054008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137152000).

29152054008 is an abundant number, since it is smaller than the sum of its proper divisors (77122249992).

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

29152054008 is a wasteful number, since it uses less digits than its factorization.

29152054008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92303 (or 92293 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 29152054008 in words is "twenty-nine billion, one hundred fifty-two million, fifty-four thousand, eight".