29129578152 has 64 divisors (see below), whose sum is σ = 75363393600. Its totient is φ = 9375275520.

The previous prime is 29129578109. The next prime is 29129578169. The reversal of 29129578152 is 25187592192.

It is a junction number, because it is equal to n+sod(n) for n = 29129578095 and 29129578104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8877 + ... + 241532.

It is an arithmetic number, because the mean of its divisors is an integer number (1177553025).

Almost surely, 2^29129578152 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 29129578152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37681696800).

29129578152 is an abundant number, since it is smaller than the sum of its proper divisors (46233815448).

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

29129578152 is a wasteful number, since it uses less digits than its factorization.

29129578152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250586 (or 250582 counting only the distinct ones).

The product of its digits is 907200, while the sum is 51.

The spelling of 29129578152 in words is "twenty-nine billion, one hundred twenty-nine million, five hundred seventy-eight thousand, one hundred fifty-two".