29256630900 has 576 divisors, whose sum is σ = 103326720000. Its totient is φ = 6384268800.

The previous prime is 29256630857. The next prime is 29256630917. The reversal of 29256630900 is 903665292.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 370337061 + ... + 370337139.

Almost surely, 2^29256630900 is an apocalyptic number.

29256630900 is a gapful number since it is divisible by the number (20) 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 29256630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360000).

29256630900 is an abundant number, since it is smaller than the sum of its proper divisors (74070089100).

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

29256630900 is a wasteful number, since it uses less digits than its factorization.

29256630900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 29256630900 in words is "twenty-nine billion, two hundred fifty-six million, six hundred thirty thousand, nine hundred".