29034854364900 has 216 divisors, whose sum is σ = 89267492341216. Its totient is φ = 7284918988800.

The previous prime is 29034854364881. The next prime is 29034854364949. The reversal of 29034854364900 is 946345843092.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288747432 + ... + 288847968.

Almost surely, 2^{29034854364900} is an apocalyptic number.

29034854364900 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 29034854364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44633746170608).

29034854364900 is an abundant number, since it is smaller than the sum of its proper divisors (60232637976316).

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

29034854364900 is a wasteful number, since it uses less digits than its factorization.

29034854364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103919 (or 103895 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 29034854364900 in words is "twenty-nine trillion, thirty-four billion, eight hundred fifty-four million, three hundred sixty-four thousand, nine hundred".